# How do you find the vertex of #f(x)=-5/2x^2+10x+1/3#?

##### 1 Answer

Aug 7, 2015

The vertex is at

#### Explanation:

The general vertex form for a quadratic is

Given

Extract the

Complete the square

Write as a squared binomial and simplfy

Note that this is in explicit vertex form.

The graph looks like: graph{-5/2x^2+10x+1/3 [-12.22, 16.25, -2.78, 11.46]}