Consider the graph of the following qudratic equation. y= -x^2 -10x + 24.What is the y-value of the vertex?

Given that the quadratic equation is

We need to determine the y - value of the vertex.

The x - value of the vertex:

The x - value of the vertex can be determined using the formula,

where

Substituting these values, we get;

Simplifying the terms, we get;

Thus, the x - value of the vertex is -5.

The y - value of the vertex:

The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation

Thus, we get;

Simplifying the values, we have;

Thus, the y - value of the vertex is 49.

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

29.5977692753

step-by-step explanation: