Absolute Value Test Review (L)

Can you match the graph to the equation?

Does this function have a minimum or a maximum? (a)  

What is the minimum point?​ (b)  

For what value of x is the function at its minimum?​ (c)  

Does this function have a minimum or a maximum? (a)  

What is the maximum point?​ (b)  

For what value of x is the value of the function at its max?​ (c)  

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 $$y=\left|x\right|$$ .

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

Given the function $$f\left(x\right)=\left|x\right|$$ , write the equation that accurately reflects a vertical shift 3 units down and a vertical compression by a factor of $$\frac{1}{3}$$ .

State the transformation(s) for this equation from the parent function $$y=\left|x\right|$$ .

$$y=3\left|x+2\right|+4$$

Solve: $$\left|5x-8\right|=27$$

What is the domain of all absolute value functions (in interval notation)?