In Problems 55-64, find an equation for each ellipse. Graph the equation. 55. Center at (2, -2); vertex at (7, -2); focus at (4, -2) 56. Center at (-3,1); vertex at (-3, 3); focus at (-3,0) 57. Vertices at (4, 3) and (4, 9); focus at (4, 8) 58. Foci at (1, 2) and (-3, 2); vertex at (-4, 2) 59. Foci at (5, 1) and (-1, 1); length of the major axis is 8 60. Vertices at (2, 5) and (2, –1): c = 2 61. Center at (1, 2); focus at (4, 2); contains the point (1,3) 62. Center at (1,2); focus at (1, 4); contains the point (2, 2) 63. Center at (1, 2); vertex at (4, 2); contains the point (1, 5) 64. Center at (1,2); vertex at (1, 4); contains the point (1 + V3,3)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.CR: Review Problem Set
Problem 26CR
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In Problems 55-64, find an equation for each ellipse. Graph the equation.
55. Center at (2, -2); vertex at (7, -2); focus at (4, -2)
56. Center at (-3,1); vertex at (-3, 3); focus at (-3,0)
57. Vertices at (4, 3) and (4, 9); focus at (4, 8)
58. Foci at (1, 2) and (-3, 2); vertex at (-4, 2)
59. Foci at (5, 1) and (-1, 1); length of the major axis is 8
60. Vertices at (2, 5) and (2, –1): c = 2
61. Center at (1, 2); focus at (4, 2); contains the point (1,3)
62. Center at (1,2); focus at (1, 4); contains the point (2, 2)
63. Center at (1, 2); vertex at (4, 2); contains the point (1, 5)
64. Center at (1,2); vertex at (1, 4);
contains the point (1 + V3,3)
Transcribed Image Text:In Problems 55-64, find an equation for each ellipse. Graph the equation. 55. Center at (2, -2); vertex at (7, -2); focus at (4, -2) 56. Center at (-3,1); vertex at (-3, 3); focus at (-3,0) 57. Vertices at (4, 3) and (4, 9); focus at (4, 8) 58. Foci at (1, 2) and (-3, 2); vertex at (-4, 2) 59. Foci at (5, 1) and (-1, 1); length of the major axis is 8 60. Vertices at (2, 5) and (2, –1): c = 2 61. Center at (1, 2); focus at (4, 2); contains the point (1,3) 62. Center at (1,2); focus at (1, 4); contains the point (2, 2) 63. Center at (1, 2); vertex at (4, 2); contains the point (1, 5) 64. Center at (1,2); vertex at (1, 4); contains the point (1 + V3,3)
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