Find the Equation for the Conic in Standard Form $x=5+2 \cos t, y=-2+\sin t, 0 \leq t \leq 2 \pi$

Find the equation for the conic in standard form. Identify the conic.
$x=5+2 \cos t, y=-2+\sin t, 0 \leq t \leq 2 \pi$