Transformations: Stretches and Compressions

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

Tags

CCSS.HSG.CO.A.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

Tags

CCSS.HSG.CO.A.2

Describe the transformation:

 $g(x)=f\left(4x\right)$  

• Vertical stretch of 4

• Vertical compression of 1/4

• Horizontal stretch of 4

• Horizontal compression of 1/4

Tags

CCSS.HSG.CO.A.2

Describe the transformation:

 $g(x)=\frac{1}{5}f\left(x\right)$  

• Vertical stretch of 5

• Vertical compression of 1/5

• Horizontal stretch of 5

• Horizontal compression of 1/5

Tags

CCSS.HSG.CO.A.2

Describe the transformation:

 $g(x)=\frac{1}{2}f\left(7x\right)$  

• 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

Tags

CCSS.HSG.CO.A.2

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

Tags

CCSS.HSG.CO.A.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

Tags

CCSS.HSG.CO.A.2

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

• $\frac{1}{2}f\left(x\right)$

• $f\left(\frac{1}{2}x\right)$

• $2f\left(x\right)$

• $f\left(2x\right)$

Tags

CCSS.HSG.CO.A.2

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

• f(x) +2

• f(x + 2)

• 2f(x)

• 1/2f(x)

Tags

CCSS.HSF.BF.B.3

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

• vertical stretch

• vertical compression

• horizontal stretch

• horizontal compression

Tags

CCSS.HSG.CO.A.2