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

1 Answer
May 28, 2017

#"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)#.