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Math Help - Eliminate the param

  1. #1
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    Eliminate the param

    I tried searching but most what I found was related to Trig. Not sure if this is even calculus, but it's in my calc class, so here goes...

    Eliminate the parameter t to find a Cartesian equation for:

    x = t2
    y = 5 + 3t
    x = Ay2 + By + C

    where A = ??, B = ?? and C = ??

    This is supposedly review, but I sure don't know what I'm doing here. Thanks in advance!
    Last edited by jjtjp; February 5th 2013 at 02:40 PM. Reason: mistyped the equation
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  2. #2
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    Re: Eliminate the param

    Hey jjtjp.

    Hint: Try squaring y as a function of t and sub in x whenever there is a t^2 (or sub in SQRT(x) = |t| for these terms) and collect and simplify.
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  3. #3
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    Re: Eliminate the param

    Quote Originally Posted by jjtjp View Post
    I tried searching but most what I found was related to Trig. Not sure if this is even calculus, but it's in my calc class, so here goes...

    Eliminate the parameter t to find a Cartesian equation for:

    x = t2
    y = 5 + 3t
    x = Ay2 + By + C

    where A = ??, B = ?? and C = ??

    This is supposedly review, but I sure don't know what I'm doing here. Thanks in advance!
    \displaystyle \begin{align*} y &= 5 + 3t \\ y - 5 &= 3t \\ \frac{y - 5}{3} &= t \end{align*}

    Substitute this into \displaystyle \begin{align*} x = t^2 \end{align*} and expand.
    Thanks from jjtjp
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  4. #4
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    Re: Eliminate the param

    Ahh...I was looking for something like that but the more I stared at the problem the more frustrated I got. Thanks prove it! I'll finish solving it when I get home.

    UPDATE: got it! I just needed to think it through the right way. A:1/9, B:-10/9, C: 25/9
    Last edited by jjtjp; February 5th 2013 at 06:45 PM.
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