Question

Write the equation of the quadratic function with roots -10 and -8 and a vertex at (-9, -3).

Answer 1

Hint: Vertex form of a quadratic equation \[f(x) = a(x-h)^2+k\]
where your vertex is (-9,-3)

Answer 2

Sorry I meant to say where your vertex is (h,k) but you get the point :P

Answer 3

or you can use

if x = -10 is a root, then (x + 10) is a factor
x = -8 is a root, then (x + 8) is a factor

the the quadratic is

y = a(x +10)(x + 8)

then substitute the vertex to find the value of a

Answer 4

@Coolguy123