# How do you sketch the graph of #y=1/2x^2# and describe the transformation?

##### 1 Answer

Please read the explanation.

#### Explanation:

We have the **quadratic equation**:

Consider the **Parent Function**:

The **General Form** of a **quadratic equation** is:

**Vertex**

The graph of

pass through the **origin**

and the graphs uses both **Quadrant-I and Quadrant-II**.

Let us now look at the **transformation** of the graph.

Consider the format :

**compression**.

Since, in the problem,

there will be a **vertical compression** toward the **x-axis**.

The graph is below:

Note that the **graphs** of

are available together to **examine** the **transformation**.