Parametric equations in 2D

Parametric equations are used to describe the coordinates of a curve in terms of a parameter. In the examples below, this parameter is taken to be \(t\). This can be interpretted as the time. The parametric equations specify the coordinates \(x\) and \(y\) at every time \(t\).

$x=$ , $y =$

$y$

$x$

$x(t) = $

$y(t)= $

from $t=$ to $t = $