Find an Equation for the Conic That Satisfies the Given $( 0 , \pm 6 )$

question 53

Multiple Choice

Find an equation for the conic that satisfies the given conditions.
hyperbola, foci $( 0 , \pm 6 )$ , vertices $( 0 , \pm 3 )$

• A) \(6 x ^ { 2 } = y\)
• B) \(\frac { ( x - 6 ) ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 27 } = 1\)
• C) \(\frac { 6 } { 27 } x ^ { 2 } = y\)
• D) \(\frac { x ^ { 2 } } { 36 } + \frac { y ^ { 2 } } { 27 } = 1\)
• E)
• \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 27 } = 1\)

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