9.06 Conic Sections Unit Exam

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9.06 Conic Sections Unit Exam

Question 1

Find the distance between points (1, 2) and (5, 9).

Question 2

Find the distance between points (-3, 8) and (-5, 1).

Question 3

  1. Find the midpoint between points (-4, 2) and (2, -2).

2 points

Question 4

  1. Find the midpoint between points (-2, 3) and (-4, -3).

2 points

Question 5

  1. The equation y squared divided by 25 minus x squared divided by 9 equals 1 represents a __________.

2 points

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

2 points

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

    What is the directrix of the following graph?


    parabola opening up, with vertex at (1, 4) and p equal to 1

    Question 9

    What is the equation of the following graph?


    parabola opening right, with vertex at (1, 2) and p equal to 2

    Question 10

    What is the equation of a parabola with a directrix x = 8 and focus (-8, 0).

    Question 11

    What is the equation of a parabola with vertex (0, 0) and directrix y = 12.

    Question 12

    What is the equation of a parabola with a vertex at (0, 0) and a focus at (0, 6).

    Question 13

    1. What is the axis of symmetry for the following parabola?
      parabola with vertex at (0, 0), which opens to the right

    2 points

    Question 14

    1. What is the equation of the following graph?
      circle through the points (10, 0), (0, 10), (negative 10, 0) and (0, negative 10)

    2 points

    Question 15

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

    Question 16

    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

    What is the equation of the following graph?


    circle through the points (8, negative 1), (2, 5), (negative 4, negative 1) and (2, negative 7)

    Question 18

    What is the equation of a circle with a center at (1, 3) and a radius of 6?

    Question 19

    What is the equation of a circle with a center at (0, 0) and a radius of 4.5?

    Question 20

    What is the equation of a circle with a center at (-4, -8) and a radius of 1.9?

    Question 21

    1. The point of symmetry for this circle is (0, 0).
      circle through the points (6, 1), (1, 6), (negative 4, 1) and (1, negative 4)





    2 points

    Question 22

    1. What is the length of the major axis of the following graph?
      ellipse through the points (6, 0), (0, 2), (negative 6, 0) and (0, negative 2)

    2 points

    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

      What is the equation of the following graph?


      ellipse through the points (6, 7), (5, 10), (4, 7) and (5, 4)

      Question 25

      What are the vertices of the following graph?


      Imported Asset

      Question 26

      Write the equation of an ellipse with a major axis of length 8 and co-vertices (0, 3) and (0, -3).

      Question 27

      Write the equation of an ellipse with vertices (0, 12) and (0, -12) and co-vertices (2, 0) and (-2, 0).

      Question 28

      Write the equation of an ellipse centered at the origin with foci at (0, -3) and (0, 3) and a major axis of 10.

      Question 29

      1. Ellipses have symmetry through both their minor and major axes.





      2 points

      Question 30

      1. What are the asymptotes 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 equals plus or minus 3 over 1 times x
        y equals plus or minus one-third x
        y equals plus or minus one-ninth x
        y equals plus or minus 9 over 1 times x

      2 points

      Question 31

      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

        Question 32

        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 33

      What is the equation 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 34

      Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).

      Question 35

      Write the equation of a hyperbola with vertices at (-4, 0) and (4, 0) and co-vertices (0, 5) and (0, -5).

      Question 36

      Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5).

      Question 37

      1. The symmetry of a hyperbola with a center at (h, k) only occurs at y = k and x = h.















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