# What is the vertex form of #2y=5x^2-3x+11 #?

##### 1 Answer

see explanation

#### Explanation:

...I can never remember it, so I always have to look it up.

The vertex form of a quadratic equation is:

So, for your original equation

Firstly, you need the

So divide both sides by 5:

...now you have to perform the infamous "complete the square" maneuver. Here's how I go about it:

Say that your

And

So, if we add and subract this from the quadratic equation, we'd have:

...and now the 1st 3 terms of the right side are a perfect square in form

...so you can write:

So now, all you gotta do is multiply through by

which is vertex form,

where