Math

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Find the quadratic function that has the indicated vertex and whose graph passes through the given point.

Vertex: (2,3) Point: (0,2)

I do not know how to do this! Please explain!! Thank You

  • Math -

    Write it in vertex form

    y = a(x-2)^2 + 3, the only thing we don't know is the a value
    sub in the given point
    2 = a(-2)^2 + 3
    -1 = 4a
    a = -1/4

    so
    y = (-1/4)(x-2)^2 + 3

    expand it if you need it in general form

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