Convert the Equation to the Standard Form for a Hyperbola $$x ^ { 2 } - y ^ { 2 } - 4 x + 4 y - 1 = 0$$

Multiple Choice

Convert the equation to the standard form for a hyperbola by completing the square on x and y.
- $$x ^ { 2 } - y ^ { 2 } - 4 x + 4 y - 1 = 0$$

A) $( x - 2 ) ^ { 2 } - ( y - 2 ) ^ { 2 } = 1$
B) $( y - 2 ) ^ { 2 } - ( x - 2 ) ^ { 2 } = 1$
C) $( x - 2 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 1$
D) $\frac { ( y - 2 ) ^ { 2 } } { 16 } - \frac { ( x - 2 ) ^ { 2 } } { 16 } = 1$