Absolute Value Test Review

Drag and drop the transformations based on the general form of the absolute value function.

$$f\left(x\right)=a\left|b\left(x-h\right)\right|+k$$

Match the following description to the transformation of an absolute value:

$$y=a\left|b\left(x-h\right)\right|+k$$

Which of the following is a graph of a vertical expansion?

Which of the following is a graph of a horizontal expansion?

Which of the following is a graph of a reflection over the x-axis?

Which of the following is a graph of a reflection over the y-axis?

Transform the parent function $$y=\left|x\right|$$ as described, and write the new equation.

1. 1. Vertical translation down 4 units.​ (a)  

2. 2. Reflection over the x-axis.​ (b)  

3. 3. Horizontal expansion by $$\frac{1}{4}$$ .​ (c)  

4. 4. Horizontal translation right 4 units.​ (d)  

5. 5. Vertical compression by $$\frac{1}{4}$$ .​ ​ (e)  

Select all transformations that describe the change from the parent function $$y=\left|x\right|$$ .

$$y=-5\left|x\right|-7$$

Select all transformations that describe the change from the parent function $$y=\left|x\right|$$ .

$$y=3\left|\frac{1}{2}\left(x+5\right)\right|-5$$

Select all transformations that describe the change from the parent function $$y=\left|x\right|$$ .

$$y=\left|2x+6\right|$$