# How do you sketch the graph of #y=(x+2)^2# and describe the transformation?

##### 1 Answer

Aug 5, 2018

Please read the explanation.

#### Explanation:

We are given the quadratic function:

For the family of **quadratic functions**,

the **parent function** is of the form

When graphing quadratic functions, there is a useful form called the **vertex form**:

**vertex**.

**Data table** is given below:

(both for the parent function and the given function)

For the parent function,

Vertex:

For the given function,

Vertex:

Let us graph:

moves (shifts) the graph LEFT by 2 units.

Note on **Transformation**:

Hence we can observe that there is a **horizontal translation**.

Hope it helps.