Find the y-coordinate of the y-intercept of the polynomial function defined below.f, of, x, equals, 2, left bracket, x, minus, 6, right bracketf(x)=2(x−6)

1. Break Down the Problem

To find the y-coordinate of the y-intercept of the polynomial function $f(x) = 2(x - 6)$, we need to determine the value of the function when $x = 0$.

2. Relevant Concepts

The y-intercept of a function is found by evaluating the function at $x = 0$. In this case, we use the polynomial function provided.

3. Analysis and Detail

Let's evaluate $f(x)$ at $x = 0$:

$f(0) = 2(0 - 6)$ $f(0) = 2(-6)$ $f(0) = -12$

4. Verify and Summarize

We have calculated $f(0)$ and found it to be $-12$. This indicates that the y-coordinate of the y-intercept is indeed $-12$.

Final Answer

The y-coordinate of the y-intercept of the function $f(x) = 2(x - 6)$ is $-12$.