Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Graph: 
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2.
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Which equation best describes the ellipse shown in the graph below? 
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3.
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What are the co-vertices of the
ellipse shown in the graph?  a. | (-4, 0) and (4, 0) | c. | (-2, 0) and (2, 0) | b. | (0, -4) and (0, 4) | d. | (0, -2) and (0,
2) |
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4.
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Create a graph of an ellipse with the following parameters: • vertices located
at (-5,0) and (5,0)
• co-vertices
located at (0,-2) and (0,2)
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5.
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Which equation of an ellipse is the only that has a major axis of length 10?
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6.
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What are the coordinates of the center of the ellipse described by
 ? a. | (2, -3) | c. | (4, 1) | b. | (2, 1) | d. | (8, -3) |
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7.
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Which is the only graph that has a minor
axis of length 6 units?
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8.
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What are the coordinates of the foci of the ellipse shown in the
graph?  a. | (-2, 0) and (2, 0) | c. | (-4, 0) and (4, 0) | b. | (0, -4) and (0, 4) | d. | (0, -2) and (0,
2) |
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9.
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What are the most appropriate coordinates of the foci of the
ellipse shown in the graph?  a. | (-5, 1.17) and (-5, 6.83) | c. | (-5, 2) and (-5,
6) | b. | (-8.46, 4) and (-1.54, 4) | d. | (-9, 4) and (-1, 4) |
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10.
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A student put two push pins in her
graph paper at the coordinates (-4,0) and (4,0) to represent the focus of the an
ellipse. She tied a piece of string that is exactly 10 units long (i.e. the major axis is
10) and then used the string to trace out an ellipse.
Based on the situation, what should
be the equation of the ellipse that she traces out?
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11.
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What are the coordinates of the vertices of the ellipse described by:  ? a. | (1, 4) and (1, 0) | c. | (-1, 2) and (3, 2) | b. | (1, 3) and (1, 1) | d. | (1, 2) and (5,
2) |
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12.
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| A construction worker shined their
flashlight on the floor at an angle which created an ellipse. A coordinate grid was laid out on
the floor such that the ellipse created was centered at the origin. The longest horizontal part
of the ellipse created was 12 feet in length on the x-axis and the shortest vertical length was 8
feet in length on the y-axis. |  | | |
What would be
an equation that describes the ellipse create by the flashlight on the coordinate grid?
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13.
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The planet Pluto has a very elliptical orbit around the Sun is one of the focus
points of the elliptical orbit of Pluto. Pluto has a major axis of approximately 79
Astronomical Units (AU) and a minor axis length of approximately 76.4 AU. (An 1 Astronomical Unit is roughly equal to the distance from the Earth to the
Sun.)What is the
correct location of the Sun on the grid in Astronomical Units to 1 decimal place using the provided
measures? (Remember the sun is at one of the focal points of
the ellipse.)a. | (9.7,0) | c. | (9.9, 0) | b. | (9.8, 0) | d. | (10.1, 0) |
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