Question

find the y-coordinate of the y-intercept of the polynomial function defined below. f(x) = 2(x - 6)

Explanation:

Step1: Recall y-intercept definition

The y - intercept of a function \(y = f(x)\) occurs where \(x = 0\). So we need to substitute \(x = 0\) into the function \(f(x)=2(x - 6)\).

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

Substitute \(x = 0\) into \(f(x)=2(x - 6)\):
\(f(0)=2(0 - 6)\)
First, calculate the value inside the parentheses: \(0-6=-6\).
Then, multiply by 2: \(2\times(-6)=-12\).

Answer:

\(-12\)