Write a quadratic relation in the form π¦ = ππ₯ 2 + ππ₯ + π with roots 4 and β 3 and passing through the point (3, -12).
+1223 y = a(x - 4)(x + 3) = a(x^2 - x - 12)
Plug in the point (3, -12)
-12 = a(9 - 3 - 12)
-12 = -6a
a = 2
y = 2(x^2 - x - 12) = 2x^2 - 2x - 24
