Explanation Given: The equation of hyperbola, ( y + 1 ) 2 49 − ( x + 3 ) 2 81 = 1 Formula used: The standard equation of vertical hyperbola with center ( h , k ) is, ( y − k ) 2 b 2 − ( x − h ) 2 a 2 = 1 The vertices of vertical hyperbola are ( h , k ± b ) . Calculation: Consider the equation, ( y + 1 ) 2 49 − ( x + 3 ) 2 81 = 1 Rewrite the above equation as below: ( y − ( − 1 ) ) 2 7 2 − ( x − ( − 3 ) ) 2 9 2 = 1 This has the form of the standard equation of vertical hyperbola, ( y − k ) 2 b 2 − ( x − h ) 2 a 2 = 1 On comparison, h = − 3 , k = − 1 , a = 9 and b = 7

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Chapter 9.4, Problem 24E

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To calculate: The center and then graph the hyperbola (y+1)249−(x+3)281=1.

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Chapter 9.4, Problem 23E

Chapter 9.4, Problem 25E

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Chapter 9 Solutions

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The center and then graph the hyperbola ( y + 1 ) 2 49 − ( x + 3 ) 2 81 = 1 .

Solution Summary: The author calculates the center of the hyperbola and graphs it.

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To calculate: The center and then graph the hyperbola (y+1)249−(x+3)281=1.

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Chapter 9 Solutions