Stretches and Compressions Reflections

If the black function is f(x), what is the red function?

• f(x) +2

• f(x + 2)

• 2f(x)

• 1/2f(x)

Describe the transformation:

g(x) = 2f(x)

• Vertical stretch of 2

• Vertical compression of 1/2

• Horizontal stretch of 2

• Horizontal compression of 1/2

Describe the transformation:
g(x)=f\left(\frac{1}{3}x\right)

• Vertical stretch of 3

• Vertical compression of 1/3

• Horizontal stretch of 3

• Horizontal compression of 1/3

• Vertical stretch of 4

• Vertical compression of 1/4

• Horizontal stretch of 4

• Horizontal compression of 1/4

Describe the transformation:

• Vertical stretch of 5

• Vertical compression of 1/5

• Horizontal stretch of 5

• Horizontal compression of 1/5

Describe the transformation:

• Vertical stretch of 2 ; Horizontal stretch of 7

• Vertical compression of 1/2 ; Horizontal compression of 1/7

• Vertical stretch of 2 ; Horizontal compression of 1/7

• Vertical compression of 1/2 ; Horizontal stretch of 7

Describe the transformation:
g(x)=9f\left(\frac{1}{2}x\right)

• Vertical stretch of 9 ; Horizontal stretch of 2

• Vertical compression of 1/9 ; Horizontal compression of 1/2

• Vertical stretch of 9 ; Horizontal compression of 1/2

• Vertical compression of 1/9 ; Horizontal stretch of 2

Describe the transformation:
g(x)=6f\left(x\right)+1

• Vertical stretch of 6 ; move 1 to the right

• Vertical compression of 1/6 ; move 1 down

• Vertical stretch of 6 ; move 1 up

• Vertical compression of 1/6 ; move 1 to the left

If f(x) is the red function, what is the blue function?

When a function is pulled up and down, that is a...

• vertical stretch

• vertical compression

• horizontal stretch

• horizontal compression