Linear Absolute Value Functions

Which function is graphed?

• f(x) = -|2x - 3| + 5

• f(x) = -|x + 5| - 3

• f(x) = -|2x + 6| + 5

• f(x) = -2|x + 5| - 3

What is the range?

• -7 ≤ y ≤ 5

• -9 ≤ y ≤ 3

• -5.5 ≤ y ≤ -0.5

• -∞ ≤ y ≤ 5

Describe the transformation from the Absolute Value Parent Function.

• Shift up 4 units

• Shift down 4 units

• Shift left 4 units

• Shift right 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)  

4) ​ (d)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

Match the following functions with their types.

• f(x) = x^2 + 4x + 4

• Quadratic

• f(x) = 5 + 3|x - 9|

• Exponential

• f(x) = 2^x

• Linear

• f(x) = 2x + 3

• Absolute Value

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

• vertical reflection

• 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)  

• parent function

• shift up

• shift down

• shift right

• shift left

• vertical reflection

• vertical stretch

• vertical compression

What kind of Function is f(x) = 5 + 3|x - 9|

• Linear

• Absolute Value

• Quadratic

• Exponential

• None of the above

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