The ellipse (x2/9) + (y2/25) = 1 is shifted 3 units to the left and 2 units down to generate the ellipse (x + 3)^2/9 + ( y + 2)^2/25 = 1. a. Find the foci, vertices, and center of the new ellipse. b. Plot the new foci, vertices, and center, and sketch in the new ellipse.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section: Chapter Questions
Problem 18T: Find the standard form of the equation of the ellipse with vertices(0,2) and (8,2) and minor axis of...
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The ellipse (x2/9) + (y2/25) = 1 is shifted 3 units to the left and 2 units down to generate the ellipse (x + 3)^2/9 + ( y + 2)^2/25 = 1. a. Find the foci, vertices, and center of the new ellipse. b. Plot the new foci, vertices, and center, and sketch in the new ellipse.

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