What is the equation of the parabola with x-intercepts 1 and 3, and that passes through (–1, 16)

1 answer

since we know the x-intercepts, we can say

y = a(x-1)(x-3)
but (-1,16) lies on it, so
16 = a(-2)(-4)
16 = 8a
a = 2

y = 2(x-1)(x-3) or y = 2x^2 -8x + 6