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Math Help - Parametric Equation to Cartesian Equation

  1. #1
    Del
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    Parametric Equation to Cartesian Equation

    Eliminate the parameter t to find a Cartesian equation for:

    x = t^2

    y = 8 + 4t

    [x = Ay^2 + By + C]

    I need to find A, B, and C. Please Help!
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Del View Post
    Eliminate the parameter t to find a Cartesian equation for:

    x = t^2

    y = 8 + 4t

    [x = Ay^2 + By + C]

    I need to find A, B, and C. Please Help!
    Solve the y equation for t:
    y = 8 + 4t

    4t = y - 8

    t = \frac{y - 8}{4}

    Now insert this into the x equation:
    x = \left ( \frac{y - 8}{4} \right ) ^2

    Now just FOIL it out.

    -Dan
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