what is the y - intercept of the quadratic function $f(x)=(x - 8)(x + 3)$?\n(8,0)\n(0,3)\n(0, - 24)\n(-5,0)

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 - 8)(x + 3)), when (x = 0), we have (f(0)=(0 - 8)(0+3)).

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

(f(0)=(-8)\times3=-24). In coordinate form, the y - intercept is the point ((0,-24)).

Answer:

C. ((0,-24))