Convert the Equation to the Standard Form for a Hyperbola $$y ^ { 2 } - 4 x ^ { 2 } - 2 y - 8 x - 7 = 0$$

Multiple Choice

Convert the equation to the standard form for a hyperbola by completing the square.
- $$y ^ { 2 } - 4 x ^ { 2 } - 2 y - 8 x - 7 = 0$$

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