Convert the Equation to the Standard Form for a Hyperbola $$9 y ^ { 2 } - 4 x ^ { 2 } + 18 y + 16 x - 43 = 0$$

Multiple Choice

Convert the equation to the standard form for a hyperbola by completing the square on x and y.
- $$9 y ^ { 2 } - 4 x ^ { 2 } + 18 y + 16 x - 43 = 0$$

A) $\frac { ( y + 1 ) ^ { 2 } } { 4 } - \frac { ( x - 2 ) ^ { 2 } } { 9 } = 1$
B) $\frac { ( y - 1 ) ^ { 2 } } { 4 } - \frac { ( x + 2 ) ^ { 2 } } { 9 } = 1$
C) $\frac { ( y + 1 ) ^ { 2 } } { 9 } - \frac { ( x - 2 ) ^ { 2 } } { 4 } = 1$
D) $\frac { ( x + 2 ) ^ { 2 } } { 9 } - \frac { ( y - 1 ) ^ { 2 } } { 4 } = 1$