# What is the vertex form of #y=- 2x^2 + 3x -6 #?

##### 1 Answer

#### Explanation:

We start with

The way I would solve this is by completing the square. The first step for that is to make the coefficient of

From here, we need to find a term which will make the equation factorable. We do that by taking the middle factor,

Now that we found the number which will make the

First we rewrite the equation as *NOTE* we resolved the issue of sticking in a number by subtracting it so that it actually has no effect on the value of the equation.

Anyway, we can now condense

We are very nearly done, except that we can stil simplify further by multiplying

The final answer is