what is the y - intercept of the quadratic function $f(x)=(x - 6)(x - 2)$?\n(0, - 6)\n(0,12)\n(-8,0)\n(2,0)

Explanation:

Step1: Recall y - intercept concept

The y - intercept of a function is found by setting (x = 0).

Step2: Substitute (x = 0) into the function

Given (f(x)=(x - 6)(x - 2)), when (x = 0), we have (f(0)=(0 - 6)(0 - 2)).

Step3: Calculate the value of (f(0))

(f(0)=(-6)\times(-2)=12). So the y - intercept is the point ((0,12)).

Answer:

B. ((0,12))