Question

question
find the y - coordinate of the y - intercept of the polynomial function defined below.
$f(x) = -x(x + 4)$

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \( y = f(x) \) occurs where \( x = 0 \). So we need to find \( f(0) \) for the function \( f(x)=-x(x + 4) \).

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

Substitute \( x = 0 \) into \( f(x)=-x(x + 4) \):
\( f(0)=-0\times(0 + 4) \)
Since any number multiplied by 0 is 0, \( -0\times(0 + 4)=0 \).

Answer:

0