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    Semester 2 - Test #8 - Practice: Multiple Choice

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    Rosenia Santiago Pascual
    This document contains a practice test with 33 multiple choice and short answer questions about conic sections such as parabolas, circles, ellipses, and hyperbolas. The test covers identifying and writing equations for conic sections given properties like the vertex, focus, directrix, center, and axes. It also involves graphing conic sections, finding geometric features from equations, and applying conic sections to real world contexts like satellite orbits.

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    © All Rights Reserved
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    Semester 2 - Test #8 - Practice: Multiple Choice

    Uploaded by

    Rosenia Santiago Pascual
    165 views6 pages
    This document contains a practice test with 33 multiple choice and short answer questions about conic sections such as parabolas, circles, ellipses, and hyperbolas. The test covers identifying and writing equations for conic sections given properties like the vertex, focus, directrix, center, and axes. It also involves graphing conic sections, finding geometric features from equations, and applying conic sections to real world contexts like satellite orbits.

    Original Description:

    practice test

    Original Title

    Test8 Practice

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    This document contains a practice test with 33 multiple choice and short answer questions about conic sections such as parabolas, circles, ellipses, and hyperbolas. The test covers identifying and writing equations for conic sections given properties like the vertex, focus, directrix, center, and axes. It also involves graphing conic sections, finding geometric features from equations, and applying conic sections to real world contexts like satellite orbits.

    Copyright:

    © All Rights Reserved
    Download as DOC, PDF, TXT or read online from Scribd
    Download as doc, pdf, or txt
    165 views6 pages

    Semester 2 - Test #8 - Practice: Multiple Choice

    Uploaded by

    Rosenia Santiago Pascual
    This document contains a practice test with 33 multiple choice and short answer questions about conic sections such as parabolas, circles, ellipses, and hyperbolas. The test covers identifying and writing equations for conic sections given properties like the vertex, focus, directrix, center, and axes. It also involves graphing conic sections, finding geometric features from equations, and applying conic sections to real world contexts like satellite orbits.

    Copyright:

    © All Rights Reserved
    Download as DOC, PDF, TXT or read online from Scribd
    Download as doc, pdf, or txt
    of 6

    Semester 2 - Test #8 - Practice

    Multiple Choice
    ____

    1. Write an equation of a parabola with a vertex at the origin and a focus at (2, 0).

    ____

    2. Write an equation of a parabola with a vertex at the origin and a directrix at y = 5.

    ____

    3. Use the graph to write an equation for the parabola.


    y
    4
    2

    2
    4

    ____

    4. Identify the focus and the directrix of the graph of

    ____

    5. Identify the vertex, focus, and directrix of the graph of

    ____

    6. Write an equation of a circle with center (5, 8) and radius 2.

    ____

    7. Write an equation for the translation of

    ____

    8. Write an equation in standard form for the circle.

    , 2 units right and 4 units down.

    y
    4
    2

    2
    4

    ____

    9. Find the center and radius of the circle with equation

    Write an equation of an ellipse in standard form with the center at the origin and with the given
    characteristics.
    ____ 10.

    a vertex at (5, 0) and a covertex at (0, 4)

    ____ 11. height of 12 units and width of 19 units


    ____ 12. Write an equation of the ellipse with foci at

    and vertices at

    ____ 13. Write an equation for the graph.


    y
    4
    2

    2
    4

    ____ 14. Find the foci of the graph

    ____ 15. Write an equation of an ellipse with center (3, 3), vertical major axis of length 12, and minor axis of length
    6.
    ____ 16. Write an equation of an ellipse with center (3, 4), horizontal major axis of length 16, and minor axis of length
    10.
    ____ 17. Find the foci of the ellipse with the equation

    . Graph the ellipse.

    ____ 18. In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 50 centimeters
    tall and 90 centimeters wide. Find the equation of the parabola.
    y
    80
    60
    40
    20

    40

    20

    20

    40

    ____ 19. Find the foci of the ellipse with the equation

    . Graph the ellipse.

    Identify the center and intercepts of the conic section. Then find the domain and range.
    y

    ____ 20.

    6
    4
    2
    6 4 2
    2

    4
    6

    Short Answer
    Graph each conic section. If it is a parabola, then name the vertex, focus, and directirix. If it is a circle,
    then name the center and the radius. If it is an ellipse, then name the center, vertices, co-vertices, and
    foci. If it is a hyperbola, then name the center, vertices, and foci.
    21.
    22.
    23.
    24.
    25.
    26. A satellite is launched in a circular orbit around Earth at an altitude of 120 miles above the surface. The
    diameter of Earth is 7920 miles. Write an equation for the orbit of the satellite if the center of the orbit is the
    center of the Earth labeled (0, 0).
    27. An elliptical track has a major axis that is 80 yards long and a minor axis that is 72 yards long. Find an
    equation for the track if its center is (0, 0) and the major axis is the x-axis.
    28. Suppose that the path of a newly discovered comet could be modeled by using one branch of the equation
    , where distances are measured in astronomical units. Name the vertices of the hyperbola and
    then graph the hyperbola.
    29. Find an equation that models the path of a satellite if its path is a hyperbola, a = 55,000 km, and c = 81,000
    km. Assume that the center of the hyperbola is the origin and the transverse axis is horizontal.
    Identify the conic section. Write the equation in standard form. If it is a parabola, give the vertex. If it
    is a circle, give the center and radius. If it is an ellipse or a hyperbola, give the center and foci.
    30.
    31.

    32.
    33.

    Semester 2 - Test #8 (Version A)


    Answer Section
    MULTIPLE CHOICE
    1.
    2.
    3.
    4.
    5.
    6.
    7.
    8.
    9.
    10.
    11.
    12.
    13.
    14.
    15.
    16.
    17.
    18.
    19.
    20.

    A
    C
    B
    C
    A
    B
    B
    B
    A
    A
    B
    D
    C
    A
    D
    B
    B
    A
    A
    C

    SHORT ANSWER
    10

    8
    6
    4
    2

    21.

    10 8 6 4 2
    2

    8 10 x

    4
    6
    8
    10

    The graph is a hyperbola that consists of two branches. Its center is at the origin. It has two lines of symmetry,
    the x-axis and the y-axis.

    y
    8
    6
    4
    2

    22.

    8 6 4 2
    2

    4
    6
    8

    The graph is an ellipse. The center is at the origin. It has two lines of symmetry, the x-axis and the y-axis.
    23. z
    24. z
    25. z
    26.
    27.
    28. ( 2, 0)
    y
    4
    2

    2
    4

    29.
    30.
    31.
    32.
    33.

    ellipse with center (4, 4), foci at


    parabola; vertex (5, 3)
    hyperbola with center (3, 2), foci at
    circle; center (4, 2); radius = 3

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