Parabola

\(x=4 \cos t, y=4 \sin t\)

\(x^2-2=-2 \cos t, y=\cos ^2\left(\frac{t}{2}\right)\)

\(\sqrt{x}=\tan t, \sqrt{y}=\sec t\)

\(x=\sqrt{1-\sin t}, y=\sin \left(\frac{t}{2}\right)+\cos \left(\frac{t}{2}\right)\)