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Find the Standard-Form Equation of the Hyperbola Centered at the Origin

Question 319

Multiple Choice

Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.
-Foci at (17,0) ,(17,0) ( \sqrt { 17 } , 0 ) , ( - \sqrt { 17 } , 0 ) ; asymptotes y=4x,y=4xy = 4 x , y = - 4 x


A) y2x216=1y ^ { 2 } - \frac { x ^ { 2 } } { 16 } = 1
B) y216x2=1\frac { y ^ { 2 } } { 16 } - x ^ { 2 } = 1
C) x216y2=1\frac { x ^ { 2 } } { 16 } - y ^ { 2 } = 1
D) x2y216=1x ^ { 2 } - \frac { y ^ { 2 } } { 16 } = 1

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