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Math Help - Applications of Parametric Equations

  1. #1
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    Applications of Parametric Equations

    Eliminate the parameter.

    x = t2 + 1, y = t2 - 1
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  2. #2
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    Re: Applications of Parametric Equations

    That's pretty close to being trivial. t^2= x- 1. Put that into the "y" equation.
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  3. #3
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    Re: Applications of Parametric Equations

    Hello, ambitionty9!

    \text{Eliminate the parameter. }\:\begin{Bmatrix} x &=& t^2+1 & [1]\\ y &=& t^2-1 & [2] \end{Bmatrix}

    Subtract [2] - [1]: . y-x \:=\:-2 \quad\Rightarrow\quad y \:=\:x-2

    The graph is a straight line.
    It starts at t=0\!:\;\;(x,y) \,=\,(1,\text{-}1)

    Code:
            |
            |             *
            +           *
            |         *
        - - + - + - * - + - -
            |     * 2
            +   *
            | .
          -2.
          . |
            |
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