Find the Equation of the Hyperbola with Center $( 1 , - 3 ) , a ^ { 2 } = 36$

question 45

Multiple Choice

Find the equation of the hyperbola with center $( 1 , - 3 ) , a ^ { 2 } = 36$ and $b ^ { 2 } = 16$

• A) \(\quad \frac { ( x - 1 ) ^ { 2 } } { 36 } - \frac { ( y + 3 ) ^ { 2 } } { 16 } = 1\)
• B) \(\quad \frac { ( x - 1 ) ^ { 2 } } { 36 } - \frac { ( y - 3 ) ^ { 2 } } { 16 } = 1\)
• C) \(\quad \frac { ( x + 1 ) ^ { 2 } } { 36 } - \frac { ( y + 3 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 16 } = 1\)
• E) \(\quad \frac { ( x - 1 ) ^ { 2 } } { 16 } - \frac { ( y + 3 ) ^ { 2 } } { 36 } = 1\)

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