Absolute Value Review Transformations

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

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

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

Write the equation of the transformed graph. 

• f(x) = ∣x - 3∣ - 2

• f(x) = -∣x + 3∣ + 2

• f(x) = -∣x - 3∣ - 2

• f(x) = ∣x + 3∣ + 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

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

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)  

• 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)  

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.

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression