jkhaywood jkhaywood

16-10-2019
Mathematics

contestada

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

−4

3

−36

0

Respuesta :

16-10-2019

[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

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