Tangents and normals: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve is \(y=4 \left(x - 1\right)^{2} + 17\). Consider the point with \(x=2\).
Find the tangent gradient at \(\displaystyle x=2\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents and normals: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve is \(y=\left(x - 2\right)^{2} + 18\). Consider the point with \(x=4\).
Find the tangent gradient at \(\displaystyle x=4\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents and normals: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve is \(y=\left(x - 2\right)^{2} + 18\). Consider the point with \(x=4\).
Find the point height at that abscissa.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents and normals: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve is \(y=2 \left(x - 3\right)^{2} + 19\). Consider the point with \(x=6\).
Find the point height at that abscissa.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents and normals: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve is \(y=2 \left(x - 3\right)^{2} + 19\). Consider the point with \(x=6\).
Find the tangent y-intercept.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents and normals: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve is \(y=3 \left(x - 4\right)^{2} + 20\). Consider the point with \(x=5\).
Find the tangent y-intercept.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents and normals: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve is \(y=3 \left(x - 4\right)^{2} + 20\). Consider the point with \(x=5\).
Find the normal gradient.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Tangents and normals: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
The curve is \(y=4 \left(x - 5\right)^{2} + 21\). Consider the point with \(x=7\).
Find the normal gradient.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.