If the Equation Represents a Hyperbola, Find the Center, Foci $$\mathrm { x } ^ { 2 } + 6 \mathrm { x } - 4 \mathrm { y } + 17 = 0$$

Multiple Choice

If the equation represents a hyperbola, find the center, foci, and asymptotes. If the equation represents an ellipse, find the center, vertices, and foci. If the equation represents a circle, find the center and radius. If the equation represents a parabola, find the focus and directrix.
- $$\mathrm { x } ^ { 2 } + 6 \mathrm { x } - 4 \mathrm { y } + 17 = 0$$

A) F: $( - 3,3 ) ;$ D: $y = 1$
B) F: $( - 3,1 ) ; \mathrm { D } : \mathrm { y } = 3$
C) $F : \left( - 3 , \frac { 9 } { 4 } \right) ; D : y = \frac { 7 } { 4 }$
D) F: $( - 3,6 ) ;$ D: $y = 2$