Question

graph the following.

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

what is the y-intercept:
graph with grid from -10 to 10 on both axes

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 \( x = 0 \):
\( y=-\frac{1}{2}(0)^{2}-4(0)-9 \)
\( y = 0 - 0 - 9=-9 \)

Answer:

The y - intercept is \(-9\).