Question

find the y-coordinate of the y-intercept of the polynomial function defined below. f(x) = -x(x + 3)(3x + 6)

Explanation:

Step1: Recall y-intercept definition

The y-intercept occurs at $x=0$.

Step2: Substitute $x=0$ into $f(x)$

$f(0) = -0 \cdot (0+3) \cdot (3\cdot0 + 6)$

Step3: Calculate the result

$f(0) = 0 \cdot 3 \cdot 6 = 0$

Answer:

$0$