9.1, 9.3 – 9.4 Quiz Review

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9.1, 9.3 – 9.4
Quiz Review
Algebra 2 CP
Find the center and radius. Then graph the circle.
1. y 2   x 2  16
2. x 2   y 2  20
4. 5x 2  5 y 2  80
5.
 x  2 2  y 2
Name________________
Date_________________
3.
 25
6.
x  32   y  22
x  12   y  52
9
 22
Write the equation of the circle that satisfies the given information.
7. Center (0, 0); r = 7
8. Center (0, 0); r = 3 3
9. Center (6, -1); r = 9
10. Center (0, 0); r =
17
13. Center (0, 0) and the
point on the circle (5, 1)
11. Center (0, 4); r = 2 6
12. Center (-3, -5); r = 3
14. Center (0, 0) and the
point on the circle (-3, 4)
15. Center (0, 0) and the
point on the circle (-6, -2)
16. Center (0, 0) and the
point on the circle (5, -8)
17. Center (2, -1) and the
point on the circle (3, 6)
18. Center (-5, -2) and the
point on the circle (-3, 4)
19. Center (6, -8) and the
point on the circle (4, -2)
20. Center (1, 5) and the
point on the circle (-2, 3)
Identify the vertices, co-vertices, and foci. Then, graph the ellipse.
x2 y2
x2 y2
21.
22.

1

1
9 16
36 25
23.
x2
 y2  1
17
24. 16 x 2  4 y 2  64
x2 y2
25.

1
25 49
27.
29.
x2 y2

1
15 9
x  12
9

y2
1
16
26. x 2  49 y 2  49
28. 36 x 2  4 y 2  144
x 2  y  2

1
25
4
2
30.
31.
33.
x  22   y  12
16
 x  32
25
9
1
 y2  1
32.
x  32   y  22
1
34.
x  12   y  32
1
4
16
36
Find the coordinates of the foci of the ellipse centered at the origin with the given information.
35. Vertices: (0, -5) (0, 5);
36. Vertices: (-9, 0) (9, 0);
Co-vertices: (-4, 0) (4, 0)
Co-vertices: (0, -1) (0, 1)
37. Vertices: (-13, 0) (13, 0);
Co-vertices: (0, -2) (0, 2)
38. Vertices:(0, -12) (0, 12);
Co-vertices: (-3, 0) (3, 0)
Write an equation that satisfies the given information.
39. Center (0, 0); Vertex (0, -6);
40. Center (0, 0); Vertex (8, 0);
Co-Vertex (3, 0)
Co-Vertex (0, 4)
41. Center (0, 0); Vertex (-6, 0);
Focus (3, 0)
42. Center (0, 0); Vertex (0, -6);
Focus (0, 4)
43. Center (0, 0); Vertex (4, 0);
Co-Vertex (0, 2)
44. Center (0, 0); Vertex (0, -3);
Co-Vertex (2, 0)
45. Center (0, 0); Vertex (3, 0);
Focus (1, 0)
46. Center (0, 0); Vertex (0, -10);
Focus (0, 7)
47. Center (-2, 6); Vertex (-2, 10);
Co-Vertex (0, 6)
48. Center (3, 6); Vertex (7, 6)
Co-Vertex (3, 3)
49. Center (4, -3); Vertex (12, -3)
Focus (10, -3)
50. Center (-1, -4); Vertex (-1, 1)
Focus (-1, -2)
51. Vertices (-2, 5) (6, 5)
Co-Vertices (2, 7) (2, 3)
52. Vertices (-3, 0) (-3, 6)
Co-Vertices (-4, 3) (-2, 3)
53. Vertices (6, -1) (6, 5)
Foci (6, 4) (6, 0)
54. Vertices (-1, 2) (3, 2)
Foci (0, 2) (2, 2)
Answers
1.
C: (0, 0); r = 4
C: (0, 0); r = 2 5
2.
3.
C: (-3, 2); r = 3
22
4. C: (0, 0); r = 4
5. C: (2, 0); r = 5
6. C: (-1, 5); r =
7. x2 + y2 = 49
8. x2 + y2 = 27
9. (x – 6)2 + (y + 1)2 = 81
10. x2 + y2 = 17
11. x2 + (y – 4)2 = 24
12. (x + 3)2 + (y + 5)2 = 9
13. x2 + y2 = 26
14. x2 + y2 = 25
15. x2 + y2 = 40
16. x2 + y2 = 89
17. (x – 2)2 + (y + 1)2 = 50
18. (x + 5)2 + (y + 2)2 = 40
19. (x – 6)2 + (y + 8)2 = 40
20. (x – 1)2 + (y – 5)2 = 13
21. V: (0, ± 4) CV: (± 3, 0) F: 0,  7

22. V: (±6, 0) CV: (0, ±5) F:  11 , 0




23. V:  17 , 0 CV: (0, ±1) F: (±4, 0)




25. V: (0, ±7) CV: (±5, 0) F: 0,  2 6
28. V: (0, ±6) CV: (±2, 0) F: 0,  4 2

26. V: (±7, 0) CV: (0, ±1) F:  4 3 , 0



24. V: (0, ± 4) CV: (± 2, 0) F: 0,  2 3




27. V:  15 , 0 CV: (0, ±3) F:  6 , 0

29. V: (1, 4) (1, -4) CV: (4, 0) (-2, 0) F: (1, 2.6) (1, -2.6)
30. V: (5, -2) (-5, -2) CV: (0, 0) (0, -4) F: (4.6, -2) (-4.6, -2)
31. V: (6, -1) (-2, -1) CV: (2, 2) (2, -4) F: (4.6, -1) (-0.6, -1)
32. V: (-3, 8) (-3, -4) CV: (-5, 2) (-1, 2) F: (-3, 7.7) (-3, -3.7)
33. V: (2, 0) (-8, 0) CV: (-3, 1) (-3, -1) F: (1.9, 0) (-7.9, 0)
34. V: (5, 3) (-3, 3) CV: (1, 4) (1, 2) F: (4.9, 3) (-2.9, 3)
35. Foci: (0, ±3)

37. Foci:  165 , 0


38. Foci: 0,  3 15


36. Foci:  4 5 , 0
39.
x2 y2

1
9 36
40.
x2 y2

1
64 16
x2 y2

1
16
4
44.
x2 y2

1
4
9
41.
x2 y2

1
36 27
42.
x2 y2

1
20 36
43.
45.
x2 y2

1
9
8
46.
x2 y2

1
51 100
47.
x  22   y  62
1
4
16
48.
x  32   y  62
1
49.
x  42   y  32
1
50.
x  12   y  42
1
51.
x  22   y  52
1
52.
x  32   y  3
1
53.
x  62   y  22
1
54.
x  12   y  22
1
16
16
4
9
4
3
64
28
2
9
21
5
25
9

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