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Convert the Equation to the Standard Form for a Hyperbola y216x24y+64x76=0\mathrm { y } ^ { 2 } - 16 \mathrm { x } ^ { 2 } - 4 \mathrm { y } + 64 \mathrm { x } - 76 = 0

Question 92

Multiple Choice

Convert the equation to the standard form for a hyperbola by completing the square on x and y.
- y216x24y+64x76=0\mathrm { y } ^ { 2 } - 16 \mathrm { x } ^ { 2 } - 4 \mathrm { y } + 64 \mathrm { x } - 76 = 0


A) (y2) 216(x2) 2=1\frac { ( y - 2 ) ^ { 2 } } { 16 } - ( x - 2 ) ^ { 2 } = 1
B) (x2) 216(y2) 2=1\frac { ( x - 2 ) ^ { 2 } } { 16 } - ( y - 2 ) ^ { 2 } = 1
C) (y4) 216(x4) 2=1\frac { ( y - 4 ) ^ { 2 } } { 16 } - ( x - 4 ) ^ { 2 } = 1
D) (x2) 2(y2) 216=1( x - 2 ) ^ { 2 } - \frac { ( y - 2 ) ^ { 2 } } { 16 } = 1

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