Convert the Equation to the Standard Form for a Hyperbola $$x ^ { 2 } - y ^ { 2 } + 6 x - 2 y + 7 = 0$$

Multiple Choice

Convert the equation to the standard form for a hyperbola by completing the square on x and y.
- $$x ^ { 2 } - y ^ { 2 } + 6 x - 2 y + 7 = 0$$

A) $( x + 3 ) ^ { 2 } - ( y + 1 ) ^ { 2 } = 1$
B) $( y + 3 ) ^ { 2 } - ( x + 1 ) ^ { 2 } = 1$
C) $( x + 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } = 1$
D) $\frac { ( y + 3 ) ^ { 2 } } { 4 } - \frac { ( x + 1 ) ^ { 2 } } { 36 } = 1$