determine the equation of a parabola with vertex (1,5) and passes through point (0,2).

Question

determine the equation of a parabola with vertex (1,5) and passes through point (0,2).

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Iris 1 week 2021-09-09T11:07:37+00:00 1 Answer 0

Answers ( )

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    2021-09-09T11:09:18+00:00

    Answer:

    y=-3(x-1)^2+5

    Step-by-step explanation:

    The vertex form of a parabola is y=a(x-h)^2+k where (h,k) is the vertex.

    We are given the vertex (h,k) is (1,5) so that makes the equation we have

    y=a(x-1)^2+5.

    We still need to find a.

    We do have the point (0,2) on our parabola.

    So replace (x,y) with (0,2) and solve for a.

    2=a(0-1)^2+5

    2=a(-1)^2+5

    2=a(1)+5

    2=a+5

    -3=a

    So the equation is

    y=-3(x-1)^2+5

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