Practice Questions

Quadratic function and its graph

Difficulty: ★★☆

1404 • Задача 1а, вариант 1

Plot the graph of the function \(y=-2x^{2}+8x-6\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I, II, III and IV

II, III and IV

I, III and IV

I, II and III

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Quadratic function and its graph

Difficulty: ★★☆

1405 • Задача 1б, вариант 1

Plot the graph of the function \(y=-2x^{2}+8x-6\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((0,0)\) and \((3,0)\); with the \(y\)-axis: \((0,-6)\).

With the \(x\)-axis: \((0,0)\) and \((4,0)\); with the \(y\)-axis: \((0,-6)\).

With the \(x\)-axis: \((1,0)\) and \((3,0)\); with the \(y\)-axis: \((0,-6)\).

With the \(x\)-axis: \((1,0)\) and \((3,0)\); with the \(y\)-axis: \((0,6)\).

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Quadratic function and its graph

Difficulty: ★★☆

1406 • Задача 1в, вариант 1

Plot the graph of the function \(y=-2x^{2}+8x-6\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in [2;+\infty)\)

\(x\in (-\infty;2]\)

\(x\in [1;3]\)

\(x\in (-\infty;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1407 • Задача 1г, вариант 1

Plot the graph of the function \(y=-2x^{2}+8x-6\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;2)\)

\(y\in (-\infty;2]\)

\(y\in [2;+\infty)\)

\(y\in (2;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1408 • Задача 1д, вариант 1

Plot the graph of the function \(y=-2x^{2}+8x-6\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Increasing on \(( -\infty;2)\), decreasing on \((2;+\infty)\).

Increasing on \(( -\infty;3)\), decreasing on \((3;+\infty)\).

Increasing on \(( -\infty;1)\), decreasing on \((1;+\infty)\).

Decreasing on \(( -\infty;2)\), increasing on \((2;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1409 • Задача 1а, вариант 2

Plot the graph of the function \(y=x^{2}+2x-8\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I, II and III

I and IV

I, II, III and IV

II, III and IV

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Quadratic function and its graph

Difficulty: ★★☆

1410 • Задача 1б, вариант 2

Plot the graph of the function \(y=x^{2}+2x-8\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((0,0)\) and \((2,0)\); with the \(y\)-axis: \((0,-8)\).

With the \(x\)-axis: \((-4,0)\) and \((2,0)\); with the \(y\)-axis: \((0,8)\).

With the \(x\)-axis: \((-5,0)\) and \((3,0)\); with the \(y\)-axis: \((0,-8)\).

With the \(x\)-axis: \((-4,0)\) and \((2,0)\); with the \(y\)-axis: \((0,-8)\).

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Quadratic function and its graph

Difficulty: ★★☆

1411 • Задача 1в, вариант 2

Plot the graph of the function \(y=x^{2}+2x-8\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in [-1;+\infty)\)

\(x\in (-\infty;-1]\)

\(x\in [-4;2]\)

\(x\in (-\infty;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1412 • Задача 1г, вариант 2

Plot the graph of the function \(y=x^{2}+2x-8\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;-9]\)

\(y\in (-\infty;-9)\)

\(y\in [-9;+\infty)\)

\(y\in (-9;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1413 • Задача 1д, вариант 2

Plot the graph of the function \(y=x^{2}+2x-8\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Decreasing on \(( -\infty;-4)\), increasing on \((-4;+\infty)\).

Decreasing on \(( -\infty;-1)\), increasing on \((-1;+\infty)\).

Increasing on \(( -\infty;-1)\), decreasing on \((-1;+\infty)\).

Decreasing on \(( -\infty;2)\), increasing on \((2;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1414 • Задача 1а, вариант 3

Plot the graph of the function \(y=2x^{2}-4x-6\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I and III

I and IV

II, III and IV

I, II, III and IV

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Quadratic function and its graph

Difficulty: ★★☆

1415 • Задача 1б, вариант 3

Plot the graph of the function \(y=2x^{2}-4x-6\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((-1,0)\) and \((3,0)\); with the \(y\)-axis: \((0,-6)\).

With the \(x\)-axis: \((0,0)\) and \((3,0)\); with the \(y\)-axis: \((0,-6)\).

With the \(x\)-axis: \((-2,0)\) and \((4,0)\); with the \(y\)-axis: \((0,-6)\).

With the \(x\)-axis: \((-1,0)\) and \((3,0)\); with the \(y\)-axis: \((0,6)\).

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Quadratic function and its graph

Difficulty: ★★☆

1416 • Задача 1в, вариант 3

Plot the graph of the function \(y=2x^{2}-4x-6\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in (-\infty;1]\)

\(x\in [-1;3]\)

\(x\in (-\infty;+\infty)\)

\(x\in [1;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1417 • Задача 1г, вариант 3

Plot the graph of the function \(y=2x^{2}-4x-6\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;-8]\)

\(y\in (-\infty;-8)\)

\(y\in [-8;+\infty)\)

\(y\in (-8;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1418 • Задача 1д, вариант 3

Plot the graph of the function \(y=2x^{2}-4x-6\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Decreasing on \(( -\infty;3)\), increasing on \((3;+\infty)\).

Decreasing on \(( -\infty;1)\), increasing on \((1;+\infty)\).

Decreasing on \(( -\infty;-1)\), increasing on \((-1;+\infty)\).

Increasing on \(( -\infty;1)\), decreasing on \((1;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1419 • Задача 1а, вариант 4

Plot the graph of the function \(y=-x^{2}+4x+5\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

II, III and IV

I, II and IV

I, II, III and IV

I and III

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Quadratic function and its graph

Difficulty: ★★☆

1420 • Задача 1б, вариант 4

Plot the graph of the function \(y=-x^{2}+4x+5\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((-2,0)\) and \((6,0)\); with the \(y\)-axis: \((0,5)\).

With the \(x\)-axis: \((0,0)\) and \((5,0)\); with the \(y\)-axis: \((0,5)\).

With the \(x\)-axis: \((-1,0)\) and \((5,0)\); with the \(y\)-axis: \((0,-5)\).

With the \(x\)-axis: \((-1,0)\) and \((5,0)\); with the \(y\)-axis: \((0,5)\).

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Quadratic function and its graph

Difficulty: ★★☆

1421 • Задача 1в, вариант 4

Plot the graph of the function \(y=-x^{2}+4x+5\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in (-\infty;2]\)

\(x\in [2;+\infty)\)

\(x\in [-1;5]\)

\(x\in (-\infty;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1422 • Задача 1г, вариант 4

Plot the graph of the function \(y=-x^{2}+4x+5\).

Using the graph, find the range of the function.

Your Answer:

\(y\in [9;+\infty)\)

\(y\in (9;+\infty)\)

\(y\in (-\infty;9]\)

\(y\in (-\infty;9)\)

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Quadratic function and its graph

Difficulty: ★★☆

1423 • Задача 1д, вариант 4

Plot the graph of the function \(y=-x^{2}+4x+5\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Decreasing on \(( -\infty;2)\), increasing on \((2;+\infty)\).

Increasing on \(( -\infty;-1)\), decreasing on \((-1;+\infty)\).

Increasing on \(( -\infty;2)\), decreasing on \((2;+\infty)\).

Increasing on \(( -\infty;5)\), decreasing on \((5;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1424 • Задача 1а, вариант 5

Plot the graph of the function \(y=x^{2}+4x+3\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I, II and III

I and III

I and IV

I, III and IV

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Quadratic function and its graph

Difficulty: ★★☆

1425 • Задача 1б, вариант 5

Plot the graph of the function \(y=x^{2}+4x+3\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((0,0)\) and \((-1,0)\); with the \(y\)-axis: \((0,3)\).

With the \(x\)-axis: \((-4,0)\) and \((0,0)\); with the \(y\)-axis: \((0,3)\).

With the \(x\)-axis: \((-3,0)\) and \((-1,0)\); with the \(y\)-axis: \((0,-3)\).

With the \(x\)-axis: \((-3,0)\) and \((-1,0)\); with the \(y\)-axis: \((0,3)\).

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Quadratic function and its graph

Difficulty: ★★☆

1426 • Задача 1в, вариант 5

Plot the graph of the function \(y=x^{2}+4x+3\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in (-\infty;-2]\)

\(x\in (-\infty;+\infty)\)

\(x\in [-3;-1]\)

\(x\in [-2;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1427 • Задача 1г, вариант 5

Plot the graph of the function \(y=x^{2}+4x+3\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;-1)\)

\(y\in (-\infty;-1]\)

\(y\in [-1;+\infty)\)

\(y\in (-1;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1428 • Задача 1д, вариант 5

Plot the graph of the function \(y=x^{2}+4x+3\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Decreasing on \(( -\infty;-1)\), increasing on \((-1;+\infty)\).

Decreasing on \(( -\infty;-2)\), increasing on \((-2;+\infty)\).

Decreasing on \(( -\infty;-3)\), increasing on \((-3;+\infty)\).

Increasing on \(( -\infty;-2)\), decreasing on \((-2;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1429 • Задача 1а, вариант 6

Plot the graph of the function \(y=-x^{2}-2x+8\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I, II, III and IV

I, II and III

I, II and IV

II, III and IV

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Quadratic function and its graph

Difficulty: ★★☆

1430 • Задача 1б, вариант 6

Plot the graph of the function \(y=-x^{2}-2x+8\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((0,0)\) and \((2,0)\); with the \(y\)-axis: \((0,8)\).

With the \(x\)-axis: \((-4,0)\) and \((2,0)\); with the \(y\)-axis: \((0,-8)\).

With the \(x\)-axis: \((-5,0)\) and \((3,0)\); with the \(y\)-axis: \((0,8)\).

With the \(x\)-axis: \((-4,0)\) and \((2,0)\); with the \(y\)-axis: \((0,8)\).

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Quadratic function and its graph

Difficulty: ★★☆

1431 • Задача 1в, вариант 6

Plot the graph of the function \(y=-x^{2}-2x+8\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in [-1;+\infty)\)

\(x\in [-4;2]\)

\(x\in (-\infty;-1]\)

\(x\in (-\infty;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1432 • Задача 1г, вариант 6

Plot the graph of the function \(y=-x^{2}-2x+8\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;9)\)

\(y\in (-\infty;9]\)

\(y\in [9;+\infty)\)

\(y\in (9;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1433 • Задача 1д, вариант 6

Plot the graph of the function \(y=-x^{2}-2x+8\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Increasing on \(( -\infty;-4)\), decreasing on \((-4;+\infty)\).

Increasing on \(( -\infty;-1)\), decreasing on \((-1;+\infty)\).

Decreasing on \(( -\infty;-1)\), increasing on \((-1;+\infty)\).

Increasing on \(( -\infty;2)\), decreasing on \((2;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1434 • Задача 1а, вариант 7

Plot the graph of the function \(y=x^{2}-6x+8\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I and III

I and IV

II, III and IV

I, II and IV

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Quadratic function and its graph

Difficulty: ★★☆

1435 • Задача 1б, вариант 7

Plot the graph of the function \(y=x^{2}-6x+8\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((2,0)\) and \((4,0)\); with the \(y\)-axis: \((0,8)\).

With the \(x\)-axis: \((1,0)\) and \((5,0)\); with the \(y\)-axis: \((0,8)\).

With the \(x\)-axis: \((0,0)\) and \((4,0)\); with the \(y\)-axis: \((0,8)\).

With the \(x\)-axis: \((2,0)\) and \((4,0)\); with the \(y\)-axis: \((0,-8)\).

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Quadratic function and its graph

Difficulty: ★★☆

1436 • Задача 1в, вариант 7

Plot the graph of the function \(y=x^{2}-6x+8\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in [2;4]\)

\(x\in (-\infty;3]\)

\(x\in (-\infty;+\infty)\)

\(x\in [3;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1437 • Задача 1г, вариант 7

Plot the graph of the function \(y=x^{2}-6x+8\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;-1]\)

\(y\in [-1;+\infty)\)

\(y\in (-1;+\infty)\)

\(y\in (-\infty;-1)\)

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Quadratic function and its graph

Difficulty: ★★☆

1438 • Задача 1д, вариант 7

Plot the graph of the function \(y=x^{2}-6x+8\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Decreasing on \(( -\infty;4)\), increasing on \((4;+\infty)\).

Decreasing on \(( -\infty;3)\), increasing on \((3;+\infty)\).

Decreasing on \(( -\infty;2)\), increasing on \((2;+\infty)\).

Increasing on \(( -\infty;3)\), decreasing on \((3;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1439 • Задача 1а, вариант 8

Plot the graph of the function \(y=2x^{2}+8x+6\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I, II and III

II, III and IV

I and III

I, III and IV

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Quadratic function and its graph

Difficulty: ★★☆

1440 • Задача 1б, вариант 8

Plot the graph of the function \(y=2x^{2}+8x+6\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((-4,0)\) and \((0,0)\); with the \(y\)-axis: \((0,6)\).

With the \(x\)-axis: \((0,0)\) and \((-1,0)\); with the \(y\)-axis: \((0,6)\).

With the \(x\)-axis: \((-3,0)\) and \((-1,0)\); with the \(y\)-axis: \((0,6)\).

With the \(x\)-axis: \((-3,0)\) and \((-1,0)\); with the \(y\)-axis: \((0,-6)\).

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Quadratic function and its graph

Difficulty: ★★☆

1441 • Задача 1в, вариант 8

Plot the graph of the function \(y=2x^{2}+8x+6\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in (-\infty;+\infty)\)

\(x\in [-3;-1]\)

\(x\in (-\infty;-2]\)

\(x\in [-2;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1442 • Задача 1г, вариант 8

Plot the graph of the function \(y=2x^{2}+8x+6\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;-2)\)

\(y\in (-2;+\infty)\)

\(y\in (-\infty;-2]\)

\(y\in [-2;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1443 • Задача 1д, вариант 8

Plot the graph of the function \(y=2x^{2}+8x+6\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Decreasing on \(( -\infty;-1)\), increasing on \((-1;+\infty)\).

Increasing on \(( -\infty;-2)\), decreasing on \((-2;+\infty)\).

Decreasing on \(( -\infty;-3)\), increasing on \((-3;+\infty)\).

Decreasing on \(( -\infty;-2)\), increasing on \((-2;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1444 • Задача 1а, вариант 9

Plot the graph of the function \(y=-x^{2}+6x-5\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I, II and IV

I, II, III and IV

I and III

I, III and IV

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Quadratic function and its graph

Difficulty: ★★☆

1445 • Задача 1б, вариант 9

Plot the graph of the function \(y=-x^{2}+6x-5\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((1,0)\) and \((5,0)\); with the \(y\)-axis: \((0,5)\).

With the \(x\)-axis: \((1,0)\) and \((5,0)\); with the \(y\)-axis: \((0,-5)\).

With the \(x\)-axis: \((0,0)\) and \((6,0)\); with the \(y\)-axis: \((0,-5)\).

With the \(x\)-axis: \((0,0)\) and \((5,0)\); with the \(y\)-axis: \((0,-5)\).

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Quadratic function and its graph

Difficulty: ★★☆

1446 • Задача 1в, вариант 9

Plot the graph of the function \(y=-x^{2}+6x-5\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in (-\infty;3]\)

\(x\in (-\infty;+\infty)\)

\(x\in [3;+\infty)\)

\(x\in [1;5]\)

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Quadratic function and its graph

Difficulty: ★★☆

1447 • Задача 1г, вариант 9

Plot the graph of the function \(y=-x^{2}+6x-5\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;4)\)

\(y\in [4;+\infty)\)

\(y\in (4;+\infty)\)

\(y\in (-\infty;4]\)

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Quadratic function and its graph

Difficulty: ★★☆

1448 • Задача 1д, вариант 9

Plot the graph of the function \(y=-x^{2}+6x-5\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Increasing on \(( -\infty;1)\), decreasing on \((1;+\infty)\).

Increasing on \(( -\infty;5)\), decreasing on \((5;+\infty)\).

Increasing on \(( -\infty;3)\), decreasing on \((3;+\infty)\).

Decreasing on \(( -\infty;3)\), increasing on \((3;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1449 • Задача 1а, вариант 10

Plot the graph of the function \(y=-x^{2}-6x-8\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I, II and IV

I and IV

I, II, III and IV

II, III and IV

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Quadratic function and its graph

Difficulty: ★★☆

1450 • Задача 1б, вариант 10

Plot the graph of the function \(y=-x^{2}-6x-8\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((0,0)\) and \((-2,0)\); with the \(y\)-axis: \((0,-8)\).

With the \(x\)-axis: \((-4,0)\) and \((-2,0)\); with the \(y\)-axis: \((0,-8)\).

With the \(x\)-axis: \((-4,0)\) and \((-2,0)\); with the \(y\)-axis: \((0,8)\).

With the \(x\)-axis: \((-5,0)\) and \((-1,0)\); with the \(y\)-axis: \((0,-8)\).

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Quadratic function and its graph

Difficulty: ★★☆

1451 • Задача 1в, вариант 10

Plot the graph of the function \(y=-x^{2}-6x-8\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in [-3;+\infty)\)

\(x\in (-\infty;-3]\)

\(x\in [-4;-2]\)

\(x\in (-\infty;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1452 • Задача 1г, вариант 10

Plot the graph of the function \(y=-x^{2}-6x-8\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;1]\)

\(y\in [1;+\infty)\)

\(y\in (-\infty;1)\)

\(y\in (1;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1453 • Задача 1д, вариант 10

Plot the graph of the function \(y=-x^{2}-6x-8\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Increasing on \(( -\infty;-3)\), decreasing on \((-3;+\infty)\).

Decreasing on \(( -\infty;-3)\), increasing on \((-3;+\infty)\).

Increasing on \(( -\infty;-4)\), decreasing on \((-4;+\infty)\).

Increasing on \(( -\infty;-2)\), decreasing on \((-2;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1454 • Задача 1а, вариант 11

Plot the graph of the function \(y=2x^{2}+4x-6\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I, III and IV

I and III

I, II, III and IV

I and IV

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Quadratic function and its graph

Difficulty: ★★☆

1455 • Задача 1б, вариант 11

Plot the graph of the function \(y=2x^{2}+4x-6\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((-3,0)\) and \((1,0)\); with the \(y\)-axis: \((0,-6)\).

With the \(x\)-axis: \((-4,0)\) and \((2,0)\); with the \(y\)-axis: \((0,-6)\).

With the \(x\)-axis: \((0,0)\) and \((1,0)\); with the \(y\)-axis: \((0,-6)\).

With the \(x\)-axis: \((-3,0)\) and \((1,0)\); with the \(y\)-axis: \((0,6)\).

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Quadratic function and its graph

Difficulty: ★★☆

1456 • Задача 1в, вариант 11

Plot the graph of the function \(y=2x^{2}+4x-6\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in (-\infty;-1]\)

\(x\in [-3;1]\)

\(x\in (-\infty;+\infty)\)

\(x\in [-1;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1457 • Задача 1г, вариант 11

Plot the graph of the function \(y=2x^{2}+4x-6\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;-8)\)

\(y\in (-\infty;-8]\)

\(y\in (-8;+\infty)\)

\(y\in [-8;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1458 • Задача 1д, вариант 11

Plot the graph of the function \(y=2x^{2}+4x-6\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Decreasing on \(( -\infty;-3)\), increasing on \((-3;+\infty)\).

Decreasing on \(( -\infty;-1)\), increasing on \((-1;+\infty)\).

Decreasing on \(( -\infty;1)\), increasing on \((1;+\infty)\).

Increasing on \(( -\infty;-1)\), decreasing on \((-1;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1459 • Задача 1а, вариант 12

Plot the graph of the function \(y=x^{2}+4x-5\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I, II and IV

I, II, III and IV

I and IV

II, III and IV

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Quadratic function and its graph

Difficulty: ★★☆

1460 • Задача 1б, вариант 12

Plot the graph of the function \(y=x^{2}+4x-5\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((-5,0)\) and \((1,0)\); with the \(y\)-axis: \((0,5)\).

With the \(x\)-axis: \((-5,0)\) and \((1,0)\); with the \(y\)-axis: \((0,-5)\).

With the \(x\)-axis: \((0,0)\) and \((1,0)\); with the \(y\)-axis: \((0,-5)\).

With the \(x\)-axis: \((-6,0)\) and \((2,0)\); with the \(y\)-axis: \((0,-5)\).

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Quadratic function and its graph

Difficulty: ★★☆

1461 • Задача 1в, вариант 12

Plot the graph of the function \(y=x^{2}+4x-5\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in [-2;+\infty)\)

\(x\in [-5;1]\)

\(x\in (-\infty;-2]\)

\(x\in (-\infty;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1462 • Задача 1г, вариант 12

Plot the graph of the function \(y=x^{2}+4x-5\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;-9]\)

\(y\in [-9;+\infty)\)

\(y\in (-9;+\infty)\)

\(y\in (-\infty;-9)\)

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Quadratic function and its graph

Difficulty: ★★☆

1463 • Задача 1д, вариант 12

Plot the graph of the function \(y=x^{2}+4x-5\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Decreasing on \(( -\infty;1)\), increasing on \((1;+\infty)\).

Increasing on \(( -\infty;-2)\), decreasing on \((-2;+\infty)\).

Decreasing on \(( -\infty;-2)\), increasing on \((-2;+\infty)\).

Decreasing on \(( -\infty;-5)\), increasing on \((-5;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1464 • Задача 1а, вариант 13

Plot the graph of the function \(y=-x^{2}+2x+8\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

II, III and IV

I, III and IV

I, II, III and IV

I and IV

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Quadratic function and its graph

Difficulty: ★★☆

1465 • Задача 1б, вариант 13

Plot the graph of the function \(y=-x^{2}+2x+8\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((-2,0)\) and \((4,0)\); with the \(y\)-axis: \((0,-8)\).

With the \(x\)-axis: \((-3,0)\) and \((5,0)\); with the \(y\)-axis: \((0,8)\).

With the \(x\)-axis: \((0,0)\) and \((4,0)\); with the \(y\)-axis: \((0,8)\).

With the \(x\)-axis: \((-2,0)\) and \((4,0)\); with the \(y\)-axis: \((0,8)\).

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Quadratic function and its graph

Difficulty: ★★☆

1466 • Задача 1в, вариант 13

Plot the graph of the function \(y=-x^{2}+2x+8\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in (-\infty;+\infty)\)

\(x\in [-2;4]\)

\(x\in [1;+\infty)\)

\(x\in (-\infty;1]\)

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Quadratic function and its graph

Difficulty: ★★☆

1467 • Задача 1г, вариант 13

Plot the graph of the function \(y=-x^{2}+2x+8\).

Using the graph, find the range of the function.

Your Answer:

\(y\in [9;+\infty)\)

\(y\in (-\infty;9)\)

\(y\in (9;+\infty)\)

\(y\in (-\infty;9]\)

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Quadratic function and its graph

Difficulty: ★★☆

1468 • Задача 1д, вариант 13

Plot the graph of the function \(y=-x^{2}+2x+8\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Increasing on \(( -\infty;-2)\), decreasing on \((-2;+\infty)\).

Decreasing on \(( -\infty;1)\), increasing on \((1;+\infty)\).

Increasing on \(( -\infty;4)\), decreasing on \((4;+\infty)\).

Increasing on \(( -\infty;1)\), decreasing on \((1;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1469 • Задача 1а, вариант 14

Plot the graph of the function \(y=-x^{2}+2x+3\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I, II and IV

I, III and IV

I and IV

I, II, III and IV

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Quadratic function and its graph

Difficulty: ★★☆

1470 • Задача 1б, вариант 14

Plot the graph of the function \(y=-x^{2}+2x+3\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((-1,0)\) and \((3,0)\); with the \(y\)-axis: \((0,-3)\).

With the \(x\)-axis: \((0,0)\) and \((3,0)\); with the \(y\)-axis: \((0,3)\).

With the \(x\)-axis: \((-2,0)\) and \((4,0)\); with the \(y\)-axis: \((0,3)\).

With the \(x\)-axis: \((-1,0)\) and \((3,0)\); with the \(y\)-axis: \((0,3)\).

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Quadratic function and its graph

Difficulty: ★★☆

1471 • Задача 1в, вариант 14

Plot the graph of the function \(y=-x^{2}+2x+3\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in [-1;3]\)

\(x\in (-\infty;1]\)

\(x\in [1;+\infty)\)

\(x\in (-\infty;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1472 • Задача 1г, вариант 14

Plot the graph of the function \(y=-x^{2}+2x+3\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;4)\)

\(y\in [4;+\infty)\)

\(y\in (-\infty;4]\)

\(y\in (4;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1473 • Задача 1д, вариант 14

Plot the graph of the function \(y=-x^{2}+2x+3\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Increasing on \(( -\infty;-1)\), decreasing on \((-1;+\infty)\).

Increasing on \(( -\infty;1)\), decreasing on \((1;+\infty)\).

Increasing on \(( -\infty;3)\), decreasing on \((3;+\infty)\).

Decreasing on \(( -\infty;1)\), increasing on \((1;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1474 • Задача 1а, вариант 15

Plot the graph of the function \(y=x^{2}+6x+5\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I, II and III

I, III and IV

I, II and IV

I and III

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Quadratic function and its graph

Difficulty: ★★☆

1475 • Задача 1б, вариант 15

Plot the graph of the function \(y=x^{2}+6x+5\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((-5,0)\) and \((-1,0)\); with the \(y\)-axis: \((0,-5)\).

With the \(x\)-axis: \((-6,0)\) and \((0,0)\); with the \(y\)-axis: \((0,5)\).

With the \(x\)-axis: \((0,0)\) and \((-1,0)\); with the \(y\)-axis: \((0,5)\).

With the \(x\)-axis: \((-5,0)\) and \((-1,0)\); with the \(y\)-axis: \((0,5)\).

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Quadratic function and its graph

Difficulty: ★★☆

1476 • Задача 1в, вариант 15

Plot the graph of the function \(y=x^{2}+6x+5\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in [-3;+\infty)\)

\(x\in (-\infty;-3]\)

\(x\in [-5;-1]\)

\(x\in (-\infty;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1477 • Задача 1г, вариант 15

Plot the graph of the function \(y=x^{2}+6x+5\).

Using the graph, find the range of the function.

Your Answer:

\(y\in [-4;+\infty)\)

\(y\in (-4;+\infty)\)

\(y\in (-\infty;-4]\)

\(y\in (-\infty;-4)\)

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Quadratic function and its graph

Difficulty: ★★☆

1478 • Задача 1д, вариант 15

Plot the graph of the function \(y=x^{2}+6x+5\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Decreasing on \(( -\infty;-5)\), increasing on \((-5;+\infty)\).

Increasing on \(( -\infty;-3)\), decreasing on \((-3;+\infty)\).

Decreasing on \(( -\infty;-1)\), increasing on \((-1;+\infty)\).

Decreasing on \(( -\infty;-3)\), increasing on \((-3;+\infty)\).

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Quadratic function and its graph

Difficulty: ★★☆

1479 • Задача 1а, вариант 16

Plot the graph of the function \(y=x^{2}+2x-3\).

Using the graph, determine which coordinate quadrants the graph passes through.

Your Answer:

I and III

I, II and IV

I, II, III and IV

I and IV

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Quadratic function and its graph

Difficulty: ★★☆

1480 • Задача 1б, вариант 16

Plot the graph of the function \(y=x^{2}+2x-3\).

Using the graph, find the points where the graph intersects the coordinate axes.

Your Answer:

With the \(x\)-axis: \((-4,0)\) and \((2,0)\); with the \(y\)-axis: \((0,-3)\).

With the \(x\)-axis: \((-3,0)\) and \((1,0)\); with the \(y\)-axis: \((0,3)\).

With the \(x\)-axis: \((0,0)\) and \((1,0)\); with the \(y\)-axis: \((0,-3)\).

With the \(x\)-axis: \((-3,0)\) and \((1,0)\); with the \(y\)-axis: \((0,-3)\).

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Quadratic function and its graph

Difficulty: ★★☆

1481 • Задача 1в, вариант 16

Plot the graph of the function \(y=x^{2}+2x-3\).

Using the graph, find the domain of the function.

Your Answer:

\(x\in [-1;+\infty)\)

\(x\in (-\infty;-1]\)

\(x\in [-3;1]\)

\(x\in (-\infty;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1482 • Задача 1г, вариант 16

Plot the graph of the function \(y=x^{2}+2x-3\).

Using the graph, find the range of the function.

Your Answer:

\(y\in (-\infty;-4)\)

\(y\in (-\infty;-4]\)

\(y\in [-4;+\infty)\)

\(y\in (-4;+\infty)\)

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Quadratic function and its graph

Difficulty: ★★☆

1483 • Задача 1д, вариант 16

Plot the graph of the function \(y=x^{2}+2x-3\).

Using the graph, state the intervals where the function is increasing and decreasing.

Your Answer:

Increasing on \(( -\infty;-1)\), decreasing on \((-1;+\infty)\).

Decreasing on \(( -\infty;-1)\), increasing on \((-1;+\infty)\).

Decreasing on \(( -\infty;1)\), increasing on \((1;+\infty)\).

Decreasing on \(( -\infty;-3)\), increasing on \((-3;+\infty)\).

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Practice — Maths 9 • Quadratic functions

Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph

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Quadratic function and its graph