Question

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

Answer 1

f(x)=(x-8)(x+3)
f(x)=x^2 - 8x + 3x - 24
y-intercept when x = 0 so then f(x) = -24

answer
y-intercept (0, -24)

Answer 2

The curve passes through y-axis at $x=0$

Substituting $x=0$ into $f(x) = (x-8)(x+3)$ we have:

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

The y-intercept is -24