An equation of an ellipse is given. (x − 2)² + (y − 3)² = 1 9 4 (a) Find the center, vertices, and foci of the ellipse. center (x, y)= (x, y) = (2,3 focus focus (x, y)= (x, y) = vertex (x, y) = vertex (x, y) = ( ( (smaller x-value) ) (larger x-value) (smaller x-value) ) (larger x-value) (b) Determine the lengths of the major and minor axes. major axis units minor axis units

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 22E
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An equation of an ellipse is given.
(x - 2)² (y - 3)²
+
9
4
(a) Find the center, vertices, and foci of the ellipse.
(x, y) = (2,3
center
focus
focus
vertex
(x, y) =
(x, y) =
(x, y) =
vertex (x, y) =
(
= 1
(smaller x-value)
) (larger x-value)
) (smaller x-value)
) (larger x-value)
(b) Determine the lengths of the major and minor axes.
major axis
units
minor axis
units
Transcribed Image Text:An equation of an ellipse is given. (x - 2)² (y - 3)² + 9 4 (a) Find the center, vertices, and foci of the ellipse. (x, y) = (2,3 center focus focus vertex (x, y) = (x, y) = (x, y) = vertex (x, y) = ( = 1 (smaller x-value) ) (larger x-value) ) (smaller x-value) ) (larger x-value) (b) Determine the lengths of the major and minor axes. major axis units minor axis units
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