# How do you find the vertex of #y=-x^2+4x+12#?

##### 1 Answer

Factor the equation such that your get

#### Explanation:

when you factor a quadratic to find the vertex, it takes the form of:

Note that

If we rearrange the above equation to satisfy the other two terms in the original quadratic:

and

Solving the first equation:

...and now the second:

Now we have our factors for the vertex form of the quadratic, and we have our vertex!

There are other, quicker ways to compute this too:

If you use calculus, you can take the derivative of the quadratic to find