Answer :
[tex]y = -4x^2 - 24x + -36[/tex]
[tex]y = -4(x^2 + 6x) -36[/tex]
[tex]y = -4(x^2 + 6x + (6/2)^2) + 4(3)^2 -36[/tex]
[tex]y = -4(x + 3)^2[/tex]
We clearly get the maximum at x=-3, in which case y=0
Answer: 0, last choice
[tex]y = -4x^2 - 24x + -36[/tex]
[tex]y = -4(x^2 + 6x) -36[/tex]
[tex]y = -4(x^2 + 6x + (6/2)^2) + 4(3)^2 -36[/tex]
[tex]y = -4(x + 3)^2[/tex]
We clearly get the maximum at x=-3, in which case y=0
Answer: 0, last choice