Question

Find the vertex of y=-2(x-4)2 + 3 and identify it as a minimum or a maximum

Answer 1

Explanation:

Remark

The minus sign in front of the 2 means that the quadratic has a maximum.

The vertex is already written in vertex form.

y= - 2 (x - 4)^2 + 3

The vertex is (4,3). Notice that the sign on the 4 changes. What you are trying to do is find the maximum point. That occurs when the minus number is made to be 0, which occurs when x = 4. The maximum y value is 3 when that happens.

I have enclosed a graph to show you all the details. Notice the maximum is when I've said it was and the roots have also been calculated.