Question

find the y-intercept of the parabola with the following equation. enter your answer as an ordered pair (x, y).

f (x) = -4 (x - 6)² - 5

show your work here

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \(y = f(x)\) occurs where \(x = 0\). So we substitute \(x = 0\) into the function \(f(x)=-4(x - 6)^{2}-5\).

Step2: Substitute x = 0 into the function

Substitute \(x = 0\) into \(f(x)\):

$$
LATEXBLOCK0
$$

Answer:

\((0, - 149)\)