Function Transformation Absolute Value

Using the graph, select the option with the correct vertex.

• (-2, 0)

• (2, 0)

• (0, -2)

• (0, 2)

Does this graph have a maximum or minimum?

• Maximum

• Minimum

Using the equation, select the option that identifies the vertex.

y = 2|x - 4|²

• (4, 0)

• (-4, 0)

• (0, 4)

• (0, -4)

Using the graph, select the correct equation.

• f(x) = -|x + 6|

• f(x) = -|x - 6|

• f(x) = -|x| + 6

• f(x) = -|x| - 6

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

• vertical reflection

• vertical stretch

• vertical compression

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units

• Stretches more narrow, shifts down 4 units

• Compresses wider, shifts down 4 units

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

Which function is graphed?

• f(x) = -|2x - 5| + 5

• f(x) = -|x - 3| - 3

• f(x) = -2|x + 3| + 5

• f(x) = -2|x + 5| - 3

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)  

4) ​ (d)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

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 up 1 unit