Question

Identify the coordinates of the vertex of f(x) = -(x + 5)2 + 8, and identify whether it is an absolute minimum or absolute maximum.​

Answer 1

Answer: (−5, 8), absolute maximum

Step-by-step explanation: The function is in vertex form, so the vertex is given by (h, k) = (−5, 8). It is an absolute maximum because the value of a is negative.

Answer 2

It is in vertex form so:

(x-h) + k --> (x-(-5)) + 8 = (x + 5) + 8

(h,k)

(-5, 8)

This equation turns out to be linear. So it would be an absolute maximum probably since negative values of x are greater than positive values of x.