Transformations of Absolute Values

Write the absolute value equation given the following transformations:
Reflection over the x-axis
Horizontal shift right 2 units
Vertical shift down 7 units

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

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, shift right 3, shift up 3

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

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

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

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

How does the following graph shift from the parent function y = |x|?

• Shift up

• Shift down

• Shift left

• Shift right

Does the following get compress or stretch from the parent function y = |x|?

• Compress

• Stretch

• Neither compress or stretch

• I don't know

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

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? y= -4|x+2|+5

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)

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

y = I x -7|

• Left 7

• Right 7

• Up 7

• Down 7