Vertical and Horizontal Function Transformations

Describe the transformation that is applied to the parent function.

f(x) = IxI -5

• Shifts left 5

• Shifts right 5

• Shifts up 5

• Shifts down 5

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

• Shift up
• Shift down

Describe the transformation of the equation below from the parent function of y = I x I

y = I x |+ 3

• Left 3

• Right 3

• Up 3

• Down 3

Write the equation for a graph that shifts down 9.

• y=|x|-9
• y=|x-9|
• y=-9|x|
• y=|x|+9

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 2 I 

• Left 2

• Right 2

• Up 2

• Down 2

Describe the transformation of the equation below:

y = I x + 3 I

• Left 3

• Right 3

• Up 3

• Down 3

Describe the transformation of the equation below from the parent function of y = IxI

y = I x + 2 I - 5

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, up 5

Choose the graph that matched the equation.
y = |x - 1|

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• Left 2, up 4

• Right 2, up 4

• Left 2, down 4

• Right 2, down 4