Explanation Given: 9 x ² + 4 y ² − 18 x + 8 y = 23 Formula used: Center Major axis Foci Vertices Equation ( h , k ) Parallel to y -axis ( h , c + k ) ( 0 , k + a ) ( x − h ) 2 b 2 + ( y − k ) 2 a 2 = 1 a > b > 0 and b ² = a ² − c ² ( h , k ) Parallel to y -axis ( h , k − c ) ( 0 , k − a ) Calculation: The equation 9 x ² + 4 y ² − 18 x + 8 y = 23 can be rewritten as, 9 ( x − 1 ) 2 + 4 ( y + 1 ) 2 = 23 + ...

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ISBN: 9780321979070

Author: Michael Sullivan

Publisher: PEARSON

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Chapter 10, Problem 10RE

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Each equation. If it is a parabola, give its vertex, focus, and directrix; if it is an ellipse, give its center, vertices, and foci; if it is a hyperbola, give its center, vertices, foci, and asymptotes.

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Chapter 10, Problem 9RE

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Each equation. If it is a parabola, give its vertex, focus, and directrix; if it is an ellipse, give its center, vertices, and foci; if it is a hyperbola, give its center, vertices, foci, and asymptotes.

Solution Summary: The author explains how each equation can be rewritten to be an ellipse, a parabola, and an asymptote.

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Each equation. If it is a parabola, give its vertex, focus, and directrix; if it is an ellipse, give its center, vertices, and foci; if it is a hyperbola, give its center, vertices, foci, and asymptotes.

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