Absolute Value Parent Functions

Apply a horizontal translation of +2 to the absolute value function y = |x|.

• y = |x-2|

• y = |x+2|

• y = |x| + 2

• y = |x-2| + 2

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3

Write the equation for a graph that is vertically shrunk by a factor of 2/5 and shifted up 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|

What is the vertex of the following function?
y= -4|x+2|+5

• (-4,2)

• (-2,5)

• (-4,-2)

• (2,5)

• y = Ix + 3I - 1
• y = Ix - 3I - 1
• y = Ix + 1I + 3
• y = Ix - 1I + 3

Identify the parent function of the graph.

• Quadratic

• Square Root

• Absolute Value

• Cubic

Choose the equation that best matches the graphed function.

Describe the transformation of the equation below from the absolute value parent function.

• Left 4

• Right 4

• Up 4

• Down 4

• Shifted left 10

• Shifted right 10

• Shifted up 10

• Shifted down 10

What is the range of the Absolute Value Parent Function?

• All Real Numbers

• (0,∞)

• [0,∞)

• (∞,0]