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March 28, 2017

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find the equations of the quadratics given the following information
zeros of 5 and 9
an optimal value of -2
using the formula y=a(x-s)(x-t)

  • math - ,

    we can start with
    y = a(x-5)(x-9)

    the vertex , where the function has an optimal value of -2, must be midway between the zeros , that is,
    when the x = 7
    so (7,-2) is the vertex, let's sub that into our equation
    -2 = a((7-5)(7-9)
    -2 = a(-4)
    a = 1/2

    equation: y = (1/2)(x-5)(x-9)

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