Stretches and Compressions of Linear Functions

What transformation occurs in y = 7∣x∣?

• Compression

• Stretch

• Reflection and compression

• Reflection and stretch

Given the general form to transform any function: a f [ b(x - h) ] + k, what does the a cause the function to do?

2 min video

Which of the following represents horizontal stretches and compressions?

• f(x)+d

• f(x-c)

• f(bx)

• af(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

A student graphed f(x) = x and g(x) = 2f(x). Which statement is true?

• The graph of g is steeper than the graph of f.

• The graph of g is less steep than the graph of f.

• The graph of f is shifted 2 units up to create the graph of g.

• The graph of f is shifted 2 units to the right to create the graph of g.

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

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

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

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:

• 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