A parabola opening up or down has vertex (1,2) and passes through 17, – 58 3 . Write its equation in vertex form.

Question

Raymond B. · Accepted Answer

vertex = (1,2), parabola has line of symmetry x=1

it's a downward opening parabola, given a negative y coordinate of another point (17, -583)

y=a(x-1)^2 + 2

plug in the other point to solve for a which must be <0

-583 = a(17-1)^2 +2

-583 = 256a +2

256a = -585

a = -585/256

y = (-585/256)(x-1)^2 + 2 is the parabola, in vertex form

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