Absolute Value Transformation

Which function defines the graph?

• f(x) = |x - 4| + 3

• f(x) = |x - 3| + 4

• f(x) = |-x + 4| + 3

• f(x) = |x + 4| + 3

Describe the transformation from the Absolute Value Parent Function.

• Vertical stretch, shifts right

• Vertical compression, shifts right

• Vertical stretch, shifts left

• Vertical compression, shifts left

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

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

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

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

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)  

3)​ ​ ​ (c)  

4) ​ (d)  

• parent function

• shift up

• shift down

• shift right

• shift left

• reflection across x-axis

• vertical stretch

• vertical compression

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

1) ​ (a)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

Describe the transformations of the absolute value equation.

• Reflection across the x-axis, vertical compression, shifts right 1 unit

• Reflection across the x-axis, vertical compression, shifts up 1 unit

• Reflection across the x-axis, vertical shift, shifts right 1 unit

• Reflection across the x-axis, vertical stretch, shifts up 1 unit