Explanation Consider the equation, 9 x 2 − y 2 − 72 x + 8 y + 119 = 0 . Now, simplify the equation in order to obtain the result in standard form. 9 x 2 − y 2 − 72 x + 8 y = − 119 9 ( x 2 − 8 x ) − ( y 2 − 8 y ) = − 119 9 ( x 2 − 8 x + 16 ) − ( y 2 − 8 y + 16 ) = − 119 + 144 − 16 9 ( x − 4 ) 2 − ( y − 4 ) 2 = 9 Further solve, ( x − 4 ) 2 1 − ( y − 4 ) 2 9 = 1 ( x − 4 ) 2 1 2 − ( y − 4 ) 2 3 2 = 1 The standard equation of a hyperbola whose transverse axis is horizontal, is x 2 a 2 − y 2 b 2 = 1 , where the center is ( 0 , 0 ) and vertices are ( a , 0 ) and ( − a , 0 )

10th Edition

ISBN: 9781337282291

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 4, Problem 83RE

To determine

The conic by writing the equation 9x2−y2−72x+8y+119=0 in the standard form. Then, draw its graph and determine the translation from the standard position.

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Chapter 4, Problem 82RE

Chapter 4, Problem 84RE

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Chapter 4 Solutions

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The conic by writing the equation 9 x 2 − y 2 − 72 x + 8 y + 119 = 0 in the standard form. Then, draw its graph and determine the translation from the standard position.

Solution Summary: The author explains that the conic is a hyperbola with centre at (4,4) and vertices at

The conic by writing the equation 9x2−y2−72x+8y+119=0 in the standard form. Then, draw its graph and determine the translation from the standard position.

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Chapter 4 Solutions