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Practice — Functions • Transformations of functions

Transformations, stretches and coordinate rules: check 1
Difficulty: ★★☆
2257 • M4U-P1-QP-FUNCTIONS-TRANSFORMATIONS-01

Maths4U Original · Short practice

Point \((3,5)\) is on \(y=f(x)\). Find the x-coordinate of its image on \(y=f(x-4)\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Transformations, stretches and coordinate rules: check 2
Difficulty: ★★☆
2258 • M4U-P1-QP-FUNCTIONS-TRANSFORMATIONS-02

Maths4U Original · Short practice

Point \((3,5)\) is on \(y=f(x)\). Find the y-coordinate of its image on \(y=-2f(x)+1\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Transformations, stretches and coordinate rules: check 3
Difficulty: ★★☆
2259 • M4U-P1-QP-FUNCTIONS-TRANSFORMATIONS-03

Maths4U Original · Short practice

Which describes \(y=f(3x)\) relative to \(y=f(x)\)?

Choose one answer.

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Transformations, stretches and coordinate rules: check 4
Difficulty: ★★☆
2260 • M4U-P1-QP-FUNCTIONS-TRANSFORMATIONS-04

Maths4U Original · Short practice

Point \((2,-3)\) is on \(y=f(x)\). For \(y=2f(x+1)-4\), enter the y-coordinate of its image.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Transformations, stretches and coordinate rules: review variant 1
Difficulty: ★★☆
2467 • M4U-P1-QP-VAR-FUNCTIONS-TRANSFORMATIONS-01

Maths4U Original · Short practice

Point \((3,5)\) lies on \(y=f(x)\). For \(y=f(x+4)\), find the image x-coordinate.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Transformations, stretches and coordinate rules: review variant 2
Difficulty: ★★☆
2468 • M4U-P1-QP-VAR-FUNCTIONS-TRANSFORMATIONS-02

Maths4U Original · Short practice

Point \((2,-2)\) lies on \(y=f(x)\). For \(y=-3f(x)+1\), find the image y-coordinate.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Transformations, stretches and coordinate rules: review variant 3
Difficulty: ★★☆
2469 • M4U-P1-QP-VAR-FUNCTIONS-TRANSFORMATIONS-03

Maths4U Original · Short practice

A point on \(y=f(x)\) has x-coordinate 12. Find its image x-coordinate on \(y=f(4x)\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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Transformations, stretches and coordinate rules: review variant 4
Difficulty: ★★☆
2470 • M4U-P1-QP-VAR-FUNCTIONS-TRANSFORMATIONS-04

Maths4U Original · Short practice

Point \((2,-3)\) lies on \(y=f(x)\). For \(y=-f(x-2)+5\), find the image y-coordinate.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

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