9.06 Conic Sections Unit Exam

Daniel Kevins

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Question 5

  1. The equation x squared divided by 25 plus y squared divided by 1 equals 1 represents a __________.

Question 6

  1. What is the directrix of the following graph?
    parabola opening down, with vertex at (0, 0) and p equal to negative 1

Question 7

  1. What is the equation of the following graph?
    parabola opening up, with vertex at (1, 4) and p equal to 1

Question 8

  1. What is the focus of the following graph?
    parabola opening up, with vertex at (1, 4) and p equal to 1

Question 9

  1. What is the vertex of the following graph?
    parabola opening up, with vertex at (1, 4) and p equal to 1

Question 13

  1. What is the axis of symmetry for the following parabola?
    parabola with vertex at (3, negative 2), which opens up

Question 14

  1. What is the equation of the following graph?
    circle through the points (3, 0), (0, 3), (negative 3, 0) and (0, negative 3)

Question 15

  1. What is the center of the following graph?
    circle through the points (8, negative 1), (2, 5), (negative 4, negative 1) and (2, negative 7)

Question 16

  1. What is the radius of the following graph?
    circle through the points (8, negative 1), (2, 5), (negative 4, negative 1) and (2, negative 7)

Question 17

  1. What is the radius of the following graph?
    circle through the points (7, 5), (3, 9), (negative 1, 5) and (3, 1)

Question 21

  1. The point of symmetry of this circle is (-3, -3).
    circle through the points (2, negative 3), (negative 3, 2), (negative 8, negative 3) and (negative 3, negative 8)




Question 22

  1. What is the equation of the following graph?
    ellipse through the points (6, 0), (0, 2), (negative 6, 0) and (0, negative 2)
    x squared divided by 36 plus y squared divided by 4 equals 1
    x squared divided by 4 plus y squared divided by 36 equals 1
    x squared divided by 36 minus y squared divided by 4 equals 1
    x squared divided by 4 minus y squared divided by 36 equals 1

Question 23

  1. What is the center of the following graph?
    ellipse through the points (1, negative 2), (0, 1), (negative 1, negative 2) and (0, negative 5)

Question 24

  1. What are the vertices of the following graph?
    Imported Asset

Question 25

  1. What is the equation of the following graph?
    ellipse through the points (6, 7), (5, 10), (4, 7) and (5, 4)

Question 30

  1. What is the equation of the following graph?
    hyperbola with center at (0, 0), opening up and down, vertical axis has length 2 and horizontal axis has length 6
    y squared divided by 9 minus x squared divided by 1 equals 1
    x squared divided by 1 minus y squared divided by 9 equals 1
    x squared divided by 9 minus y squared divided by 1 equals 1
    y squared divided by 1 minus x squared divided by 9 equals 1

Question 31

  1. What is the center of the following graph?
    hyperbola with center at (1, 2), opening right and left, vertical axis has length 4 and horizontal axis has length 10


    Question 32

    1. What are the vertices of the following graph?
      hyperbola with center at (1, 2), opening right and left, vertical axis has length 4 and horizontal axis has length 10

    Question 33

    1. What is the equation of the following graph?
      hyperbola with center at (negative 5, 1), opening right and left, vertical axis has length 16 and horizontal axis has length 12





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Daniel Kevins

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