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

question 147

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics.
Center: $( 0,4 )$ ; a = 2c; Vertices: $( - 8,8 ) , ( 8,8 )$ , where a - thr semimajor axis, b - semiminor axis and $c ^ { 2 } = a ^ { 2 } - b ^ { 2 }$ .

• A) \(\frac { ( x - 8 ) ^ { 2 } } { 64 } + \frac { ( y - 8 ) ^ { 2 } } { 48 } = 1\)
• B) \(\frac { x ^ { 2 } } { 64 } - \frac { ( y - 8 ) ^ { 2 } } { 48 } = 1\)
• C) \(\frac { x ^ { 2 } } { 64 } - \frac { ( y + 8 ) ^ { 2 } } { 48 } = 1\)
• D) \(\frac { x ^ { 2 } } { 64 } + \frac { ( y - 8 ) ^ { 2 } } { 48 } = 1\)
• E) \(\frac { ( x - 8 ) ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 48 } = 1\)

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