1. **Problem Statement:** Graph the circle given by the equation $$ (x-3)^2 + (y+2)^2 = 16 $$. 2. **Formula and Explanation:** The general equation of a circle is $$ (x-h)^2 + (y-k)^2 = r^2 $$ where $ (h,k) $ is the center and $ r $ is the radius. 3. **Identify the center and radius:** From the equation, the center is $ (3, -2) $ and the radius is $ r = \sqrt{16} = 4 $. 4. **Graphing steps:** - Plot the center at $ (3, -2) $. - From the center, move 4 units up, down, left, and right to mark points on the circle. - Connect these points smoothly to form the circle. 5. **Answer Key:** - Center: $ (3, -2) $ - Radius: $ 4 $ - Equation: $$ (x-3)^2 + (y+2)^2 = 16 $$ This completes the problem and solution for graphing the circle.