Question

graph the following.

1. $y = -\frac{1}{2}x^2 - 4x - 9$

what is the y-intercept:
graph with x-axis from -10 to 10 and y-axis from -10 to 10

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \(y = f(x)\) is the value of \(y\) when \(x = 0\).

Step2: Substitute \(x = 0\) into the function

Given the function \(y=-\frac{1}{2}x^{2}-4x - 9\), substitute \(x = 0\) into it:
\(y=-\frac{1}{2}(0)^{2}-4(0)-9\)
\(y = 0 - 0-9=-9\)

Answer:

-9