Find the Standard Form of the Equation of the Ellipse $( 0,4 ) , ( 8,4 )$

question 151

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics.
Vertices: $( 0,4 ) , ( 8,4 )$ ; minor axis of length 10.

• A) \(\frac { ( x + 4 ) ^ { 2 } } { 16 } + \frac { ( y + 4 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( x - 4 ) ^ { 2 } } { 16 } + \frac { ( y - 4 ) ^ { 2 } } { 25 } = 1\)
• C) \(\frac { ( x + 4 ) ^ { 2 } } { 16 } + \frac { ( y - 4 ) ^ { 2 } } { 25 } = 1\)
• D) \(\frac { ( x - 4 ) ^ { 2 } } { 16 } + \frac { ( y + 4 ) ^ { 2 } } { 25 } = 1\)
• E) \(\frac { ( x - 4 ) ^ { 2 } } { 16 } - \frac { ( y - 4 ) ^ { 2 } } { 25 } = 1\)

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