Question

Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)?

Answer 1

y = -6x^2 - 36x - 30

Explanation:

X intercepts are the roots

y = a(x + 1)(x + 5)

to find "a" use point (0, -30)

-30 = a(1)(5)

-30 = a(5)

a = -6

therefor

y = -6(x + 1)(x + 5)

Expanded form

y = -6x^2 - 36x - 30