Transformations Vertical and Horizontal Translation Review

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Match the equation to its description.

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

How did the function y=x+7 shift from y=x?

• up 7

• down 7

• left 7

• right 7

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

k indicates a ​ ​ (a)   translation.

-k (shift to ​ (b)   .)

+k (shift to ​ (c)   .)

• Vertical

• Up

• Down

• Reflection

• Horizontal

• Left

• Right

indicates a ​ ​ (a)   translation.

-k (shift to ​ (b)   .)

+k (shift to ​ (c)   .)

• Vertical

• Up

• Down

• Reflection

• Horizontal

• Left

• Right

Describe the transformation.

• Vertical translation 2 units down

• Vertical translation 2 units up

• Horizontal translation 2 units left

• Horizontal translation 2 units right

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units

How did the function y=x+7 shift from the parent function?

• up 7

• down 7

• left 7

• right 7