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Parameterization of simple equations

  1. Mar 21, 2012 #1
    1. The problem statement, all variables and given/known data

    Find a parameterization for the motion described by x = -3z^2 in the xz plane.

    2. Relevant equations

    3. The attempt at a solution

    For circles and stuff, I get the general process, but for these simple ones, they feel a little too easy.

    Is it valid for me to say:

    let x(t) = t
    then z(t) = -3t^2

    and y(t) = 0 because of it's location in the plane constantly of xz.

    Can I always just solve the equations for one side and define it to be equal to t, adjusting the remaining equation(s) accordingly?
  2. jcsd
  3. Mar 21, 2012 #2


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    Science Advisor
    Homework Helper

    If you meant z=(-3x^2) instead of what you posted that's one solution.
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