The equation and graph of a polynomial are shown below. The graph reachesits maximum when the value of x is -2. What is the y-value of this maximum?

Question

asked Mar 19, 2023 74.5k views

1 Answer

Yuriy Rypka · Answer 1 · 2023-03-25T09:12:43+0000

Given the following function:

$\text{ y = -x}^2\text{ - 4x - 1}$

We are tasked to find the y-value of a graph reaching its maximum at x = -2.

We get,

$\text{ y = -x}^2\text{ - 4x - 1}$
$\text{ y = -(-2)}^2\text{ - 4(-2) - 1}$
$\text{ y = -(4) + 8 - 1}$
$\text{ y = -4 + 8 - 1}$
$\text{ y = }3$

Therefore, the y-value is 3.