Find the Equation of the Hyperbola with Center $( 2 , - 2 ) , a ^ { 2 } = 25$

question 64

Multiple Choice

Find the equation of the hyperbola with center $( 2 , - 2 ) , a ^ { 2 } = 25$ and $b ^ { 2 } = 4$ .

• A) \(\quad \frac { ( x - 2 ) ^ { 2 } } { 25 } - \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1\)
• B) \(\quad \frac { ( x - 2 ) ^ { 2 } } { 4 } - \frac { ( y + 2 ) ^ { 2 } } { 25 } = 1\)
• C) \(\quad \frac { ( x - 2 ) ^ { 2 } } { 25 } - \frac { ( y + 2 ) ^ { 2 } } { 4 } = 1\)
• D) \(\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 4 } = 1\)
• E) \(\quad \frac { ( x + 2 ) ^ { 2 } } { 25 } - \frac { ( y + 2 ) ^ { 2 } } { 4 } = 1\)

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