Find the Standard-Form Equation of the Hyperbola Centered at the Origin

question 348

Multiple Choice

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Vertices at (0, 6) and (0, -6) ; foci at (0, 9) and (0, -9)

• A) \(\frac { y ^ { 2 } } { 45 } - \frac { x ^ { 2 } } { 36 } = 1\)
• B) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 81 } = 1\)
• C) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 45 } = 1\)
• D) \(\frac { y ^ { 2 } } { 81 } - \frac { x ^ { 2 } } { 36 } = 1\)

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