# How to graph a parabola #y=4x^2#?

##### 1 Answer

Please read the explanation.

#### Explanation:

**Given the Equation : **

A **Quadratic Equation** takes the form:

**Graph of a quadratic function** forms a **Parabola**.

The **coefficient of the ** **(a)** makes the parabola **wider or narrow**.

If the coefficient of the **(a)** is **negative**. then the parabola **opens down**.

The term **Vertex** is used to identify the **Turning Point** of a parabola.

It can be **maximum point** or **minimum point**, depending on the **sign** of the coefficient of the

Create a **data table** as shown below:

Notice that the **column E** contains values for

**Parent Function** for a quadratic equation.

The graph of **understanding the behavior of the function given**

Since, the **sign** of the **positive**, the parabola **opens up** and we have a **Minimum point at the Vertex**.

**Plot the Points** from the **data table** to draw **graphs**.

Graphs of

Observe that **the coefficient of the ** **narrow**.

Hope it helps.