10. Parametric Equations

Given the parametric equations $x=t^2$ and $y=t+1$, eliminate the parameter to find a Cartesian equation of the curve.

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\(\pi\)$