Question

What is the quadratic function that is created with roots -3 and 1 and a vertex at (-1, -8)?

Answer 1

-3 is a root. That means (x+3) is a factor.
1 is a root. That means (x-1) is a factor.

The quadratic function is: f(x) = a * (x-1)(x+3) where a is a constant.
when x = -1, f(x) = -8
substitute and solve for a.
Then multiply it out to get f(x).