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**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]

BiP