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

Solution:

Given: Function f(x) = (x - 8)(x + 3)

A quadratic function is a polynomial function with one or more variables in which the highest power of the variable is two.

From the question, y-intercept means the graph cuts at y-axis and where x = 0

Now substitute x = 0 in the quadratic function

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

By further calculation

f (0) = - 8 × 3

So we get

f (0) = - 24

Therefore, the y-intercept is - 24.

What is the y-intercept of the quadratic function f(x) = (x - 8)(x + 3)?

Summary:

The y-intercept of the quadratic function f(x) = (x - 8)(x + 3) is (0, -24).