Absolute Value Function Transformations

Select the correct set of transformations.

f(x) = 1/3 |x + 4| - 2

What is the equation for the absolute value parent function that has been vertically compressed by a factor of 1/4, reflected over the y-axis, and has been translated up 3 units?

Determine if the translation is a vertical, horizontal, reflection, or dilation

What is the equation of the graph below?

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)  

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

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

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

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