Identify the Type of Graph $$- x ^ { 2 } - 10 x + 6 y ^ { 2 } + 12 y = 16$$

Multiple Choice

Identify the type of graph.
- $$- x ^ { 2 } - 10 x + 6 y ^ { 2 } + 12 y = 16$$

A) The graph is an ellipse with center $\left( - \frac { 6 } { 5 } , 2 \right)$ .
B) The graph is a circle with center $\left( \frac { 6 } { 5 } , - 2 \right)$ .
C) The equation has no graph.
D) The graph is a hyperbola opening to the right and left.