Question

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

Explanation:

Step1: Recall y-intercept definition

The y-intercept occurs at $x=0$.

Step2: Substitute $x=0$ into function

$f(0) = (0 - 8)(0 + 3)$

Step3: Calculate the value

$f(0) = (-8)(3) = -24$

Step4: Write the coordinate

The y-intercept is the point $(0, -24)$.

Answer:

(0,-24)