# What is the vertex of #y= -3x^2 + 12x +6 #?

##### 1 Answer

Oct 16, 2016

The vertex is

#### Explanation:

Differentiating with respect to x

Any max or min is when

To determine if it's a max or min , we must differentiate once more

So

so it's a maximum

The vertex is when

Here is a graph of the function

graph{-3x^2+12x+6 [-40, 40, -20, 20]}