# How do you graph #f(x) =abs(2x+3)#?

##### 1 Answer

#### Answer:

Please read the explanation.

#### Explanation:

**Construct a table of values with Input: **

Values are obtained for the graphs:

You can now analyze how the computed values reflect visually on their respective graphs.

Consider

This will help understand how **transformations** will work.

Graph of

This is the **Parent Graph**.

Graph of

Graph of

Let us find the

Let

Subtract 3 from both sides.

Divide both sides by

Hence,

**Axis of Symmetry :**

**Domain is all possible x values: **

**Range: **

**Horizontal Shift**:

Hope it helps.