Find the Standard Form of the Equation of the Ellipse $$8 x ^ { 2 } + 4 y ^ { 2 } + 64 x - 32 y + 32 = 0$$

question 85

Multiple Choice

Find the standard form of the equation of the ellipse below.
$$8 x ^ { 2 } + 4 y ^ { 2 } + 64 x - 32 y + 32 = 0$$

• A) \(\frac { ( x - 4 ) ^ { 2 } } { ( 2 \sqrt { 5 } ) ^ { 2 } } + \frac { ( y + 4 ) ^ { 2 } } { ( 2 \sqrt { 10 } ) ^ { 2 } } = 1\)
• B) \(\frac { ( x + 4 ) ^ { 2 } } { ( 2 \sqrt { 5 } ) ^ { 2 } } + \frac { ( y - 4 ) ^ { 2 } } { ( 2 \sqrt { 10 } ) ^ { 2 } } = 1\)
• C) \(\frac { ( x + 4 ) ^ { 2 } } { ( 2 \sqrt { 10 } ) ^ { 2 } } - \frac { ( y - 4 ) ^ { 2 } } { ( 2 \sqrt { 5 } ) ^ { 2 } } = 1\)
• D) \(\frac { ( x - 4 ) ^ { 2 } } { ( 2 \sqrt { 10 } ) ^ { 2 } } + \frac { ( y + 4 ) ^ { 2 } } { ( 2 \sqrt { 5 } ) ^ { 2 } } = 1\)
• E) \(\frac { ( x - 4 ) ^ { 2 } } { ( 2 \sqrt { 5 } ) ^ { 2 } } - \frac { ( y + 4 ) ^ { 2 } } { ( 2 \sqrt { 10 } ) ^ { 2 } } = 1\)

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