# How dones one flip the graph of a parametric curve?

## Main Question or Discussion Point

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

Define the parametric curve C by
$x = f(t)$ and $y = g(t)$.

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 $x = f(t)$ and $y = -g(t)$ ?
And I assume similarly that a flip of the initial curve over the y-axis results in

$x = - f(t)$ and $y = g(t)$

BiP

Simon Bridge