Identify the Type of Graph $$- x ^ { 2 } - 2 x + 4 y ^ { 2 } + 8 y = 20$$

Multiple Choice

Identify the type of graph.
- $$- x ^ { 2 } - 2 x + 4 y ^ { 2 } + 8 y = 20$$

A) The equation has no graph.
B) The graph is an ellipse with center $\left( - \frac { 4 } { 5 } , \frac { 2 } { 5 } \right)$ .
C) The graph is a circle with center $\left( \frac { 4 } { 5 } , - \frac { 2 } { 5 } \right)$ .
D) The graph is a hyperbola opening to the right and left.