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Find the Standard Form of the Equation of the Ellipse 2x2+8y2+24x−64y+16=02 x ^ { 2 } + 8 y ^ { 2 } + 24 x - 64 y + 16 = 0

Question 115

Multiple Choice

Find the standard form of the equation of the ellipse below.
2x2+8y2+24x−64y+16=02 x ^ { 2 } + 8 y ^ { 2 } + 24 x - 64 y + 16 = 0


A) (x−6) 2(223) 2+(y+4) 2(23) 2=1\frac { ( x - 6 ) ^ { 2 } } { ( 2 \sqrt { 23 } ) ^ { 2 } } + \frac { ( y + 4 ) ^ { 2 } } { ( \sqrt { 23 } ) ^ { 2 } } = 1
B) (x+6) 2(223) 2+(y−4) 2(23) 2=1\frac { ( x + 6 ) ^ { 2 } } { ( 2 \sqrt { 23 } ) ^ { 2 } } + \frac { ( y - 4 ) ^ { 2 } } { ( \sqrt { 23 } ) ^ { 2 } } = 1
C) (x+4) 2(23) 2−(y−6) 2(223) 2=1\frac { ( x + 4 ) ^ { 2 } } { ( \sqrt { 23 } ) ^ { 2 } } - \frac { ( y - 6 ) ^ { 2 } } { ( 2 \sqrt { 23 } ) ^ { 2 } } = 1
D) (x−4) 2(23) 2+(y+6) 2(223) 2=1\frac { ( x - 4 ) ^ { 2 } } { ( \sqrt { 23 } ) ^ { 2 } } + \frac { ( y + 6 ) ^ { 2 } } { ( 2 \sqrt { 23 } ) ^ { 2 } } = 1
E) (x−4) 2(223) 2−(y+6) 2(23) 2=1\frac { ( x - 4 ) ^ { 2 } } { ( 2 \sqrt { 23 } ) ^ { 2 } } - \frac { ( y + 6 ) ^ { 2 } } { ( \sqrt { 23 } ) ^ { 2 } } = 1

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