Absolute Value Review Transformations

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

• Left 4

• Right 4

• Up 4

• Down 4

What is the equation of the graph below?

• f(x) = - I x + 2 I 

• f(x) = - I x - 2 I 

• f(x) =  I x + 2 I 

• f(x) =  I x - 2 I 

What is the range of the absolute value function?

• (-infinity, infinity)

• [3, infinity)

• [0, infinity)

• (-infinity, 3]

What is the vertex of the following function?
y=2|x-3|+1

• (2,3)

• (-3,1)

• (2,-3)

• (3,1)

What is the vertex of the following function?

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)

What is the vertex of the following equation:

-1/3|x - 5| + 7

• (5, 7)

• (-5, 7)

• (7, -5)

• (7, 5)

Which graph represents the parent function of an Absolute Value?

• Black

• Blue

• Orange

• Red

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit

• Reflects over x-axis, compresses wider, shifts up 1 unit

• Reflects over x-axis, stretches more narrow, shifts right 1 unit

• Reflects over x-axis, stretches more narrow, shifts up 1 unit

Describe the transformation that is applied to the parent function.

f(x) = IxI -5

• Translate left 5

• Translate right 5

• Translate up 5

• Translate down 5

Write the equation for a graph that vertically shrank by a factor of 2/5 and translated up 6.

• y=6|x|-2/5

• y=2/5|x|+6

• y=2/5|x+6|

• y=2/5|x-6|