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

question 24

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) \(\frac { ( y - 2 ) ^ { 2 } } { 16 } - \frac { ( x - 2 ) ^ { 2 } } { 16 } = 1\)

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