Answer
1) $x=t; y=t^2,t\geq 0$
2) $x=\sqrt t; y=t,t\geq 0$
Work Step by Step
We are given the rectangular equation:
$x=\sqrt y$
One set of parametric equations is:
$\begin{cases}
x=t\\
y=t^2
\end{cases}$
with $t\geq 0$
Another set of parametric equations is:
$\begin{cases}
x=\sqrt t\\
y=t
\end{cases}$
with $t\geq 0$