Question

How do you find the max or minimum of `f(x)=-x^2+7`?

Answer 1

`"Maximum point" : (0, 7)`

Explanation:

We have: `f(x) = - x^(2) + 7`

The negative sign in front of the `x^(2)` term implies that the parabola will be concave downward, i.e. there is a maximum point.

The maximum point of the graph of `f(x) = - x^(2)` will occur at the coordinate `(0, 0)`.

Adding `7` to the function moves the graph up by `7` units.

Therefore, the maximum point of `f(x) = - x^(2) + 7` is at `(0, 7)`.