Question

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?

Answer 1

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.