9. On the graph: $(-3,-4),(1,0),(4,3)$; not on the graph: (2, 3)

11. On the graph: (3, 2), (0, 1), (8, 3); not on the graph: $(8,-3)$

13. On the graph: $(1,0),(2,\sqrt{3}),(2,-\sqrt{3})$; not on the graph: $(0,-1)$

15.

17.

19.

21.

23.

25.

27.

29.

31.

33.

35.

37. x-intercepts: $-1,1;$ y-intercepts: none; symmetries: y axis

39. x-intercepts: $-\pi ,0,\pi :$ y-intercept: 0; symmetries: origin

41. x-intercepts: $-3,3;$ y-intercepts: $-2,2;$ symmetries: x axis, y axis, ­origin

43. x-intercepts: $-2,0,2;$ y-intercept: 0; symmetries: origin

45. x-intercepts; $-2,0,2;$ y-intercepts: 0, 3; symmetries: y axis

47.

49.

51. x-intercept: 4; y-intercept: 3

53. x-intercept: 5; y-intercept: 3

55. x-intercept: 2, y-intercept: $-2$

57. x-intercepts: 2, 4; y-intercept: 8

59. x-intercepts: $-2,2;$ y-intercepts: $-2,2$

61. x-intercepts: $-\sqrt{3},\sqrt{3};$ y-intercept: 3

63. No x- or y-intercepts

65. Not symmetric with respect to the x-axis, symmetric with respect to the y-axis, not symmetric with respect to the origin

67. Not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, symmetric with respect to the origin

69. Not symmetric with respect to the x-axis, symmetric with respect to the y-axis, not symmetric with respect to the origin

71. Not ­symmetric with respect to the x-axis, not symmetric with respect to the y-axis, ­symmetric with respect to the origin

73. Not symmetric with respect to the x-axis, not symmetric with respect to the y-axis, symmetric with respect to the origin

75. $\text{Center}:(2,3);\text{ radius}:6$

77. $\text{Center}:(-2,-3);\text{ radius}:\sqrt{11}$

79. $x^2+{(y-1)}^2=4$

81. ${(x+1)}^2+{(y-2)}^2=2$

83. ${(x-3)}^2+{(y+4)}^2=97$

85. ${(x-1)}^2+{(y-2)}^2=4$

87. ${(x-2)}^2+{(y-5)}^2=26$

89.

1. Circle; center: (1, 1); radius: $\sqrt{6}$

2. $(1-\sqrt{5},0),(1+\sqrt{5},0),(0,1-\sqrt{5}),(0,1+\sqrt{5})$

91.

1. Circle; center: $(0,-1);$ radius: 1

2. $(0,0),(0,-2)$

93.

1. Circle; center: $\left({\displaystyle \frac{1}{2}},0\right);$ radius: ${\displaystyle \frac{1}{2}}$

2. (1, 0), (0, 0)