Explanation A hyperbola with center at ( h , k ) and foci on a line parallel to the x -axis is ( x − h ) 2 a 2 − ( y − k ) 2 b 2 = 1 . Where vertices are V ( a + h , k ) and V ′ ( − a + h , k ) , foci are F ( c + h , k ) and F ′ ( − c + h , k ) , ends of the conjugate axis are B ( h , b + k ) and B ' ( h , − b + k ) , and a 2 + b 2 = c 2 is a relation between a , b , and c . A hyperbola with center at ( h , k ) and foci on a line parallel to the y -axis is ( y − k ) 2 a 2 − ( x − h ) 2 b 2 = 1 . Where vertices are V ( h , a + k ) and V ′ ( h , − a + k ) , foci are F ( h , c + k ) and F ′ ( h , − c + k ) , ends of the conjugate axis are B ( b + h , k ) and B ' ( − b + h , k ) and a 2 + b 2 = c 2 is a relation between a , b , and c . Calculation: Converting the given equation 9 x 2 − 4 y 2 − 16 y − 18 x = 43 in standard form by representing the left side of the equation in the form of perfect square of x and y as follows, 9 x 2 − 4 y 2 − 16 y − 18 x = 43 9 ( x 2 − 2 x + 1 ) − 4 ( y 2 + 4 y + 4 ) = 43 + 9 − 16 9 ( x − 1 ) 2 − 4 ( y + 2

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ISBN: 9781305652231

Author: R. David Gustafson, Jeff Hughes

Publisher: Cengage Learning

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Chapter 7.CR, Problem 23E

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The hyperbola of an equation 9x2−4y2−16y−18x=43.

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Chapter 7.CR, Problem 22E

Chapter 7.CR, Problem 24E

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Ch. 7.1 - Prob. 1SC Ch. 7.1 - Prob. 2SC Ch. 7.1 - Prob. 3SC Ch. 7.1 - Prob. 4SC Ch. 7.1 - Prob. 5SC Ch. 7.1 - Prob. 6SC Ch. 7.1 - Find the vertex and yintercepts of the parabola...Ch. 7.1 - Prob. 8SC Ch. 7.1 - Prob. 9SC Ch. 7.1 - Prob. 1E

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