$\"\"$

The parametric equations are $\"\"$ and $\"\"$ .

Eliminate parameter $\"\"$ .

Consider $\"\"$ .

$\"\"$

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Squaring on each side.

$\"\"$

The rectangular equation is $\"\"$ .

Therefore, the parametric equations $\"\"$ and $\"\"$ yields the parabola.

The domain of the rectangular equation needs to be restricted to all real values of $\"\"$ .

$\"\"$

The rectangular equation is $\"\"$ .

The domain of the rectangular equation needs to be restricted to all real values of $\"\"$ .