16. Parametric Equations & Polar Coordinates

Graph the plane curve formed by the parametric equations and indicate its orientation.

$x\left(t\right)=-t+1$; $y\left(t\right)=t^2$

$-2\le t\le 2$

Graph the plane curve formed by the parametric equations and indicate its orientation.

$x\left(t\right)=2t-1$; $y\left(t\right)=2\sqrt{t}$

$t\ge 0$

Eliminate the parameter to rewrite the following as a rectangular equation.

$x\(\left\)(t\(\right\))=2t-1$

$y\(\left\)(t\(\right\))=t^5-2$

First eliminate the parameter, then graph the plane curve of the parametric equations.

$x\(\left\)(t\(\right\))=2+\(\cos\) t$, $y\left(t\right)=-1+\sin t$; $0\(\le\) t\(\le\)2\(\pi\)$