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· A parabola is the set of all points (x, y) that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the

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Page 1: · A parabola is the set of all points (x, y) that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the

Page 1

Page 2: · A parabola is the set of all points (x, y) that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the

Page 2

Page 3: · A parabola is the set of all points (x, y) that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the

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Page 4: · A parabola is the set of all points (x, y) that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the

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Page 5: · A parabola is the set of all points (x, y) that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the

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Find the Focus, vertex, axis of symmetry and directirx of the parabola.

53. (x + 2)2 = -6 (y - 1)

54. (y - 3)2 = -20 (x + 2)

55. (x - 1)2 - 2 (y + 1) = 0

56. (y + 1)2 = 12x

57. (x + 3)2 = - y

58. (y - 4)2 = 32 (x + 1)

59. (x - 7)2 = -18 (y - 3)

60. 0 = (y - 1)2 - 16 (x + 4)

Find the equation of the parabola have the following characteristics.

Focus Vertex

61. (3, 0) origin

62. (0, 1/2) origin

63. (-6, 0) origin

64. (0, -1) origin

65. (5,1) (5, 4)

66. (-3, -2) (1, -2)

67. (1, 0) (-1, 0)

68. (1/2, 3/4) (1/2, -1/8)

69. (7, 5) (4, 5)

70. (1, 8) (1, -8)

Write the vertex focus and directrix of the parabola.

71. x2 = 2x = 6y - 11 = 0

72. 5y2 + 10y + 2x + 2 = 0

73. 4y2 + 4y - 4x - 16 = 0

74. 4y2 - 4y - 4x + 24 = 0

75. y = x2 + 4x + 3

76. y = x2 + 6x + 10

77. x2 - 4x - 2y = 0

78. x2 - y - 2 = 0

79. x2 + 2x + 2y + 7 = 0

Page 6: · A parabola is the set of all points (x, y) that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the

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Page 7: · A parabola is the set of all points (x, y) that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the

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Page 8: · A parabola is the set of all points (x, y) that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the

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Page 9: · A parabola is the set of all points (x, y) that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the

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Page 10: · A parabola is the set of all points (x, y) that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line. The midpoint between the focus and the

Page 10 Part 1

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