# How do you graph #y=-2abs(5x+8)+4#?

##### 1 Answer

Please read the explanation.

#### Explanation:

Consider the **General Form of the Absolute Value Function:**

**compressed horizontally** to produce the graph of

It is interesting to note that the **the sign of b** does not affect the graph since the **absolute value** is considered.

The **Parent Function** is of the form

The **absolute value function ** **transformations**.

Complete table of values for the graph:

**Analyze the behavior of the graph (in stages)** of the given absolute value function:

(Images of graphs are in sequence to enable visual comprehension)

**Graph 1** Graphs of

**Graph 2** Graphs of

**Graph 3** Graphs of

A **negative value for #a#** results in a

**reflection**across the

**x-axis**.

**Graph 4** Graphs of