Final answer:
The y-coordinate of the y-intercept of the polynomial f(x) = -2x(x-1)(3x-6)(x-2) is 0.
Step-by-step explanation:
The y-coordinate of the y-intercept of the polynomial f(x) = -2x(x-1)(3x-6)(x-2) can be determined by substituting x = 0 into the equation and solving for y. Since the y-intercept occurs when x = 0, the equation becomes f(0) = -2(0)(0-1)(3(0)-6)(0-2). By simplifying, we get f(0) = 0. Therefore, the y-coordinate of the y-intercept is 0.