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How dones one flip the graph of a parametric curve?

  1. Sep 24, 2012 #1
    How dones one "flip" the graph of a parametric curve?

    Define the parametric curve C by
    [itex] x = f(t) [/itex] and [itex] y = g(t) [/itex].

    This curve can be plotted on the Cartesian plane. Let's say we "flipped" this curve over the x-axis, that is, we reflected every point on this curve about the x-axis so that the y-value for any given point has been negated.

    How is the end result represented using the parametric equations shown above, assuming this is possible?

    I would imagine just [itex] x = f(t) [/itex] and [itex] y = -g(t) [/itex] ?
    And I assume similarly that a flip of the initial curve over the y-axis results in

    [itex] x = - f(t) [/itex] and [itex] y = g(t) [/itex]

  2. jcsd
  3. Sep 24, 2012 #2

    Simon Bridge

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    Re: How dones one "flip" the graph of a parametric curve?

    That would be correct - you can easily test this by plotting a few simple relationships.
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