# How do you find the vertex of #y= x^2 - 16x + 73#?

##### 2 Answers

#### Explanation:

Use the equation of a vertex:

If you have a quadratic equation

For your equation,

So

Thus we know the vertex has an x-coordinate of 8.

To find the y-coordinate, just plug in the x-coordinate back into the function:

So our vertex has a y-coordinate of 9. Therefore our vertex is

An alternate way to approach this is to first put the equation into vertex form. See below for more:

#### Explanation:

The general form for the vertex form is:

And we get there by completing the square:

We take the

Notice that we can take the first 3 terms and write it as a quantity squared:

and we can simplify the other two terms:

With this form, the vertex is given as