Absolute Value Simple Transformations

Describe the transformations of the absolute value equation.

• Reflects over x-axis, vertical compression by a factor of 3, right 1

• Reflects over x-axis, vertical compression by a factor of 3, up 1

• Reflects over x-axis, vertical stretch by a factor of 3, right 1

• Reflects over x-axis, vertical stretch by a factor of 3, up 1

Write the equation for a graph that is vertically compressed 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|

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

What is the vertex of the following function?

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)

Which graph represents the parent function of an Absolute Value?

• Black

• Blue

• Orange

• Red

Choose the equation that best matches the graphed function.

Tags

CCSS.HSF-IF.C.7D

Write an absolute value function given the following transformations from the parent function: Reflection across the x-axis horizontal shift right 2 units vertical shift down 7 units

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

• Left 2, up 4

• Right 2, up 4

• Left 2, down 4

• Right 2, down 4

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

f(x) = −|x+4|

• A

• B

• C

• D