Find the Equation for the Conic in Standard Form $x=2+2 \cos t, y=-2+2 \sin t, 0 \leq t \leq 2 \pi$

Find the equation for the conic in standard form. Identify the conic. $x=2+2 \cos t, y=-2+2 \sin t, 0 \leq t \leq 2 \pi$