Function Transformations and Stretch/Compression

Identify the transformation applied to the function f(x) = x² when it is shifted 3 units to the right.

• (x + 3)²

• (x - 3)³

• (x - 3)²

• (x - 3)

Describe the stretch or compression in the function g(x) = 2x² compared to the parent function f(x) = x².

• No stretch or compression

• Vertical compression by a factor of 2

• Horizontal compression by a factor of 2

• Vertical stretch by a factor of 2

Identify the transformation applied to the function h(x) = -2x when it is reflected over the x-axis.

• h(x) = -2x + 1

• h(x) = -2x

• h(x) = 2x

Explain the stretch or compression in the function k(x) = 0.5x compared to the parent function f(x) = x.

• Compression by a factor of 2

• Compression by a factor of 0.5

• No stretch or compression

• Stretch by a factor of 0.5

Identify the transformation applied to the function p(x) = (x-4)² when it is shifted 4 units up.

• p(x) = (x-4)² - 4

• p(x) = (x+4)² + 4

• p(x) = (x-4)² - 4

• p(x) = (x-4)² + 4

Describe the stretch or compression in the function q(x) = -3x² compared to the parent function f(x) = x².

• Compression by a factor of 2

• Compression by a factor of 3

• No stretch or compression

• Stretch by a factor of 3

Identify the transformation applied to the function r(x) = 3x when it is reflected over the y-axis.

• Rotation

• Horizontal reflection

• No transformation

• Vertical reflection

Explain the stretch or compression in the function s(x) = 4x compared to the parent function f(x) = x.

• Stretch by a factor of 2

• Stretch by a factor of 4

• Compression by a factor of 4

• No stretch or compression

Identify the transformation applied to the function t(x) = (x+2)³ when it is shifted 2 units to the left.

• (x+2)³

• (x-2)³

• (x+2)²

• (x+4)³

• Stretched by a factor of 0.25

• Compressed by a factor of 0.25

• Stretched by a factor of 4

• Compressed by a factor of 4