# How do you graph #y=|2x+3|#?

##### 1 Answer

#### Answer:

Please read the explanation.

#### Explanation:

We are given the absolute value function:

The

**Vertex: **

**Axis of Symmetry: **

We are given

Note that

**Vertex :**

Hence, **Vertex is **

**Axis of Symmetry :**

Hence, **Axis of Symmetry is at **

Create a **data table** for the **Parent Function**

the given absolute value function

The **data table** is given below:

Draw the graph for

Draw the graph for

Observe that,

**Vertex :**

Draw the **Axis of Symmetry** on the graph as shown below:

Keep both the graphs of

as shown below and **analyze the transformations:**

Observe that the values

All transformations are with reference to the **parent graph**.

**horizontal transformation**.

**shifts horizontally** by **3 units** to the left.

Hope you find this solution helpful.