Sketch a Graph of the Rectangular Equation $$\left( x ^ { 2 } + y ^ { 2 } + 3 y \right) ^ { 2 } = 9 \left( x ^ { 2 } + y ^ { 2 } \right)$$

Essay

Sketch a graph of the rectangular equation. [Hint: First convert the equation to polar coordinates.] $$\left( x ^ { 2 } + y ^ { 2 } + 3 y \right) ^ { 2 } = 9 \left( x ^ { 2 } + y ^ { 2 } \right)$$