Determine the equation

Question

Determine the equation in factored form of a parabola with zeros at 2 and -6 and passing through the point P(3,36).

Answer 1

y =a(x-2)(x+6), plug in (3,36) to find "a"

36 =a(1)(9)

a = 4

y = 4(x-2)(x+6)

or

y = 4x^2+16x-48 in standard form

or

y = 4(x+4x +4) -48-16

y = 4(x+2)^2 -64 in vertex form,with vertex (-2,-64)