How do you find the vertex of #y=-x^2+4x+12#?
Factor the equation such that your get
when you factor a quadratic to find the vertex, it takes the form of:
If we rearrange the above equation to satisfy the other two terms in the original quadratic:
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