Explanation Approach: A standard form of equation for ellipse is A ( x − h ) 2 + B ( y − k ) 2 = C , where, ( h , k ) is the center of the ellipse. Rewrite the given equation in the form of ellipse equation. 9 x 2 − 18 x + y 2 − 2 y − 26 = 0 9 ( x 2 − 2 x + 1 ) + ( y 2 − 2 y + 1 ) − 9 − 1 − 26 = 0 9 ( x − 1 ) 2 + ( y − 1 ) 2 − 36 = 0 9 ( x − 1 ) 2 + ( y − 1 ) 2 = 36 The center of the given ellipse is ( 1 , 1 ) To find the endpoints on the major axis, substitute 1 for x in the ellipse equation and to find the endpoints on the minor axis, substitute 1 for y in the ellipse equation. Calculation: Substitute 1 for x in the given equation. 9 ( ( 1 ) − 1 ) 2 + ( y − 1 ) 2 = 36 9 ( 0 ) + ( y − 1 ) 2 = 36 ( y − 1 ) 2 = 36 y − 1 = ± 6 y = ± 6 + 1 Further, solve the above equation

10th Edition

ISBN: 9781305191495

Author: Jerome E. Kaufmann; Karen L. Schwitters

Publisher: Cengage Learning US

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Chapter 8.S, Problem 6S

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The graph of the equation 9x2−18x+y2−2y−26=0.

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Chapter 8.S, Problem 5S

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Intermediate Algebra

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