# What is the vertex form of #y=-3x^2-2x+1#?

##### 1 Answer

The vertex form is the following,

for this equation it is given by:

It is found by completing the square, see below.

#### Explanation:

Completing the square.

We begin with

First we factor the

Then we separate out a

A perfect square is in the form

if we take

We get our

This leaves us with

Now we collect the bits of our perfect square

Next we take the (-1/9) out of the bracket.

and neaten up a bit

Remember the vertex for is

or we turn the plus sign into two minus signs producing,

This is the equation in vertex form and the vertex is