# What is the vertex of #y=5(x+3)^2-9 #?

##### 1 Answer

The vertex coordinates are:

#### Explanation:

There are two ways to solve it:

**1)** Quadratics:

For the equation

The

The **solving** the equation.

So now, we have to **expand** the equation we have to get it in quadratic form:

Now,

Thus, the

becomes:

Thus, since

**2)** This is the easier way of doing it - by using the **Vertex Formula**:

In the equation

We are already given an equation in the Vertex format, so it is easy to find out the Vertex coordinates:

can be rewritten as:

Now we have it in the Vertex-form, where

So, the Vertex coordinates are:

Tip: you can change an equation in a quadratic form to a vertex form by **completing the square**. If you are not aware of this concept, search it up on the Internet or post a question on Socratic.