Question

Identify the maximum value of the function y = −4x2 − 24x + −36.


−4


3


−36


0

Answer 1

$y = -4x^2 - 24x + -36$

$y = -4(x^2 + 6x) -36$

$y = -4(x^2 + 6x + (6/2)^2) + 4(3)^2 -36$

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

We clearly get the maximum at x=-3, in which case y=0

Answer: 0, last choice