Question

find the y-coordinate of the y-intercept of the polynomial function defined below. f(x) = (x + 3)^2(x + 1)(x + 1)

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 given function \(f(x)=(x + 3)^{2}(x + 1)(x + 1)\).

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

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

$$
LATEXBLOCK0
$$

Step3: Calculate the result

\(9\times1\times1 = 9\).

Answer:

9