# How do you graph #y=xabs(2x+5)#?

##### 1 Answer

#### Answer:

Read below.

#### Explanation:

Let's think of it this way:

For our first case, we are just bringing out

For the second case, we are finding the opposite of whatever was inside the absolute value sign.

So we can say that:

When

When

Let's apply this to our function.

When

When

We first garph these two parabolas:

Now, we ask ourselves,"For what values of

Similarly, "For what values of

To find out the answer, we solve each inequality.

This is actually telling us that for any

So we now have:

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