Find the Standard Form of the Equation of the Ellipse $\frac { ( x + 6 ) ^ { 2 } } { 9 } + \frac { ( y + 9 ) ^ { 2 } } { 64 } = 1$

question 31

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics. ​
Vertices: (6,1) , (6,17) ,minor axis of length 3
​

• A) \(\frac { ( x + 6 ) ^ { 2 } } { 9 } + \frac { ( y + 9 ) ^ { 2 } } { 64 } = 1\)
• B) \(\frac { ( x - 6 ) ^ { 2 } } { 9 } + \frac { ( y - 9 ) ^ { 2 } } { 64 } = 1\)
• C) \(\frac { ( x - 6 ) ^ { 2 } } { 64 } + \frac { ( y - 9 ) ^ { 2 } } { 9 } = 1\)
• D) \(\frac { ( x - 9 ) ^ { 2 } } { 64 } + \frac { ( y - 6 ) ^ { 2 } } { 9 } = 1\)
• E) \(\frac { ( x + 9 ) ^ { 2 } } { 64 } + \frac { ( y + 6 ) ^ { 2 } } { 9 } = 1\)

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