# What is the vertex form of #y=5x^2+17x+13# ?

##### 1 Answer

Nov 22, 2017

When given an equation of the form:

The vertex form is:

where

#### Explanation:

Given:

Please observe that

Substitute 5 for a in the vertex form:

Compute the value of h:

Substitute the value of h into the vertex form:

Compute the value of k:

Substitute the value of k into the vertex form:

The above equation is the vertex form.