so i am suppose to to find the max value attained by… g(x) = -3x2 - 24x - 18. but my teacher said "There is a difference between determining the maximum value and naming the location of the maximum value." what does that mean??

Answer 1

the location of the maximum value is the point where the maximum value is attained.

so, if g(5) = 20 is the max,

then the maximum value is 20.
The location is the point (5,20)