Function Transformations

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.BF.B.3

g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).

• f(x) has been translated to the left one and down five.
• f(x) has been translated to the right one and down five.
• f(x) has been translated to the left one and up five.
• f(x) has been translated to the right one and up five.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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.BF.B.3

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

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

CCSS.HSG.CO.A.2

Describe the transformation that occurred.

w(x) = f(x - 7)

• Down 7

• Up 7

• Right 7

• vertical compression

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

CCSS.HSG.CO.A.2

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

CCSS.HSG.CO.A.2

Describe the transformation that occurred

g(x) =2f(x)

• Up 2 units

• vertical compression

• vertical stretch

• Right 2 Units

Tags

CCSS.HSF.BF.B.3