my math problem

Question

Determine the equation of the parabola with x-intercepts

√7 and -√7, and that passes through (-3,-6)

Answer 1

y = a(x-sqr7)(x+-sqr7) = a(x^2-7)

-6 = a((-3)^2 - 7) = a(9-7) = 2a

a = -6/2 = -3

y = -3(x^2 -7) = -3x^2 + 21

y =-3x^2 + 21