# What is the vertex form of #y=2x^2+4x-5#?

##### 1 Answer

#### Explanation:

Given:

Remember that the vertex form is

with vertex at

Extracting the the

Complete the square

Rewrite with a squared binomial and simplified constant

which is the vertex form with vertex at

Here is a graph of the original equation for verification purposes:

graph{2x^2+4x-5 [-10.83, 11.67, -10.08, 1.17]}