Absolute Value Transformation Up Down Left Right

Determine the transformation

• Left 5, up 1

• Left 5, down 1

• Right 5, up 1

• Right 5, down 1

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

• left 1

  up 5

• right 1

  up 5

• V.C

• V.S.

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

Describe the transformations of the absolute value equation.

• Flips to A shape, compresses wider, shifts right 1 unit

• Flips to A shape, compresses wider, shifts up 1 unit

• Flips to A shape, stretches more narrow, shifts right 1 unit

• Flips to A shape, stretches more narrow, shifts up 1 unit

State the RANGE of the absolute value function given the following transformations:

• y = -|x - 2| - 7

• y = |x - 2| - 7 

• y = -|x - 2| + 7

• y = |x + 2| + 7 

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2)​ ​​ (b)  

• parent function

• shift up

• shift down

• shift right

• shift left

• reflection across x-axis

• vertical stretch

• vertical compression

Write the absolute value equation, given the following transformations:
Compressed by 1/2, Reflection across the x-axis,Vertical shift right 2 units, Horizontal shift down 7 units

f(x) = (a)   ​|x (b)   ​| (c)  

• -1/2

• -2

• -7

• 1/2

• +2

• +7

The function g can be thought of as a translation (shifted) version of f(x)=|x|. Write an equation for g(x).

g(x)=|x​ (a)   |​ (b)  

• +6

• -2

• -6

• 2

For each circled number in the picture, use the drop-down option below to select the transformation it causes to the graph.

1) ​ (a)  

2)​ ​ (b)  

3) ​ (c)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression