Function Transformations and Stretch/Compression

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

Given the parent function p(x)=cos(x), which phrase best describes the transformation used to obtain the graph of g(x)=cos(x+a) - b, if a and b are positive constants?

• Right a units, up b units

• Right a units, down b units

• Left a units, up b units

• Left a units, down b units

Tags

CCSS.HSF-IF.C.7E

Describe the transformation that occurred.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Strech

• right 2 units

Tags

CCSS.HSF.BF.B.3

Describe the transformation that occurred

m(x) = f(x + 1)

• Left 1 Unit

• Right 1 unit

• vertical stretch

• up 1 unit

Tags

CCSS.HSF.BF.B.3

Describe the transformation that occurred

k(x) = f(x) - 9

• vertical compression

• Down 9 units

• Left 9 units

• Right 9 Units

Tags

CCSS.HSF.BF.B.3

Describe the transformation that occurred

g(x) =2f(x)

• Up 2 units

• vertical compression

• vertical stretch

• Right 2 Units

Describe the transformation that occurred

h(x) = 1/5f(x)

• Up 5 Units

• vertical compression

• vertical stretch

• Down 5 Units

Describe the transformation that occurred t(x) = f(x) - 1

• Right 1 Unit

• Down 1 Unit

• vertical compression

• vertical stretch

Tags

CCSS.HSF.BF.B.3

Describe the transformation that occurred

s(x) = 7f(x)

• vertical compression

• Up 7 Units

• Over 7 Units

• vertical stretch

Describe the transformation that occurred 
d(x) = f(x) - 1

• Left 1 Unit

• Right 1 Unit

• Up 1 Unit

• Down 1 Unit

Tags

CCSS.HSF.BF.B.3