Find the Standard Form of the Equation of the Hyperbola $\frac { ( y + 4 ) ^ { 2 } } { 4 } - \frac { ( x - 5 ) ^ { 2 } } { 5 } = 1$

question 42

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (5,-6) , (5,-2)
Foci: (5,-7) , (5,-1)
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• A) \(\frac { ( y + 4 ) ^ { 2 } } { 4 } - \frac { ( x - 5 ) ^ { 2 } } { 5 } = 1\)
• B) \(\frac { ( y + 4 ) ^ { 2 } } { 4 } + \frac { ( x - 5 ) ^ { 2 } } { 5 } = 1\)
• C) \(\frac { ( y - 5 ) ^ { 2 } } { 4 } - \frac { ( x + 4 ) ^ { 2 } } { 5 } = 1\)
• D) \(\frac { ( y + 5 ) ^ { 2 } } { 4 } - \frac { ( x - 4 ) ^ { 2 } } { 5 } = 1\)
• E) \(\frac { ( y - 4 ) ^ { 2 } } { 4 } - \frac { ( x + 5 ) ^ { 2 } } { 9 } = 1\)

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