Identify Function Transformations

Which equation describes the transformation of shifting f(x)=x³ two units right?

• x³ + 2

• x³ - 2

• (x + 2)³

• (x - 2)³

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ three units left?

• x³ + 3

• x³ - 3

• (x + 3)³

• (x - 3)³

Tags

CCSS.HSF.BF.B.3

Identify the transformation from the graph of f(x)=2^x to the graph g(x)=2^x-3

• shifted up three units

• shifted down three units

• shifted left three units

• shifted right four units

Tags

CCSS.HSF.BF.B.3

Identify the transformations:

• Shrink of 2; up 5

• Stretch of 2; up 5

• Up 2; left 5

• Up 2; right 5

• shifted left 5 units

• shifted right 5 units

• shifted up 1 unit

• shifted down 1 unit

• reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

Describe the transformation

• left 2 up 5

• right 2 up 5

• left 2 down 5

• right 2 down 5

Tags

CCSS.HSF.BF.B.3

How is the blue graph different from the red parent graph? Mark all that are true.

• shifted 1 unit up from the red parent graph

• shifted 2 units right from the red parent graph

• flipped over the x-axis from the red parent graph

• flipped over the y-axis from the red parent graph

• shifted 1 unit down from the red parent graph

Describe the transformations for the following function h(x)=2(x-3)^2+5 from the parent function g(x)=x^2

• vertical stretch times 2

• horizontal stretch times 2

• shift left 3 units

• shift up 5 units

• shift right 3 units

Describe the transformation of f(x) to g(x) from the graph.

• shift left 2 units

• shift right 2 units

• vertical stretch

• horizontal stretch

Tags

CCSS.HSF.BF.B.3

The graph of f\left(x\right) is transformed to create g\left(x\right)=3f\left(x\right). Which of the following describes the transformation?

• f(x) is translated 3 units left

• f(x) is vertically stretched by a factor of 3

• f(x) translated 3 units up

• f(x)  is horizontally stretched by a factor of 3