The circle has a center of (-2,3) and radius of 4. Find 3 equations.
1.rectangular
2.parametric
3.polar
1. Recall the equation of the circle: $\displaystyle (x-a)^{2} + (y-b)^{2} = r^{2}$
(a,b) represents the centre of your circle (note the negative signs) and r (not $\displaystyle r^{2}$) is your radius.
2. Parametric form is given by: $\displaystyle \begin{array}{ll} x = r\cos \theta + a \\ y = r\sin \theta + b \end{array}$