Functions Transformation

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5

• Vertical stretch be a factor of 5

• Vertically shrink by a factor of 1/5

•  Horizontal stretch by a factor of 5

What is the parent function of f(x)=2(1/2)^x-7

• f(x)=2

• f(x)=(1/2)

• f(x)=2^x

• f(x)=(1/2)^x

• vertical stretch

• vertical shrink

• horizontal shrink

• horizontal stretch

• reflection over an axis

State the shift for f(x) = |-x| choose all that apply.

• horizontal stretch

• horizontal shrink

• reflection over the y-axis

• reflection over the x-axis

Describe the transformation.

• Left 1, Reflect over x-axis, up 2

• Left 1, Reflect over y-axis, down 2

• Right 1, Reflect over x-axis, up 2

• Right 1, Reflect over y-axis, uo 2

Describe the transformation.

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

Describe the transformation

• Left 4 units, up 1 unit

• Right 4 units, up 1 unit

• Left 4 units, down 1 unit

• Right 4 units, down 1 unit

Match the correct equation with the given graph.

• y = √(x) + 2

• y = √(x) - 2

• y = √(x + 2)

• y = √(x - 2)

What is the range?

• [-3, infinity)

• [-1, infinity)

• (-infinity, infinity)

• (-infinity, -1]

Which of the following correctly describes the domain and range for the function graphed?

• Domain: [-5, ∞)

  Range: (-∞, 4]

• Domain: [-5, ∞)

  Range: [4, -∞)

• Domain: (-∞, ∞)

  Range: (-∞, ∞)

• Domain: [4, ∞)

  Range: (-∞, -5]