Sketch the Graph of the Equation $x ^ { 2 } + 4 x + y ^ { 2 } + 6 y - 2 = 0$

Multiple Choice

Sketch the graph of the equation. If the graph is a parabola, find its vertex. If the graph is a circle, find its center and
radius.
- $x ^ { 2 } + 4 x + y ^ { 2 } + 6 y - 2 = 0$

A) center $( - 2 , - 3 )$ ; radius $= 15$

B) center $( 2 , - 3 )$ ; radius $= \sqrt { 15 }$

C) center $( - 2 , - 3 )$ ; radius $= \sqrt { 15 }$

D) center $( 2,3 )$ ; radius $= \sqrt { 15 }$