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Math Help - quadratics in standard form

  1. #1
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    Question quadratics in standard form

    I'm attempting to help my son with the following - any assistance offered would be greatly appreciated!

    Write a quadratic in standard form for the parabola that passes through the given points:

    (-4, -3), (0, -2), (1,7)

    My son is lost as to how to tackle this - any suggestions?
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  2. #2
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    standard form ...

    y = ax^2 + bx + c

    you have three points, substitute in the corresponding x and y values to create three equations ...

    -3 = a(-4)^2 + b(-4) + c

    -2 = a(0)^2 + b(0) + c

    7 = a(1)^2 + b(1) + c

    note that the second equation basically gives you the value of the constant coefficient " c".

    using c = -2 and the other two equations, solve for the quadratic coefficient "a" and the linear coefficient "b".
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  3. #3
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    Skeeter,

    Thank you SO much for your rapid reply. You're a life saver!!

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