Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Find the inclination  (in degrees)
of the line with a slope of  . Round your answer to one decimal
places.
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2.
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Find the inclination  (in radians
and degrees) of the line passing through the points. Round your answer to four decimal places for
radians and round your answer to one decimal places for degree.
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3.
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Find the inclination  (in radians
and degrees) of the line. Round your answer to four decimal places for radians and round your answer
to one decimal places for degree.
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4.
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Select the graph of the following
equation:
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5.
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Select the graph of the following
equation
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6.
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Find the standard form of the equation of the
parabola with the given characteristic and vertex at the origin.
Directrix:
a. | 
–12x | b. | 
| c. | 
12x | d. | 
12y | e. |  –12y |
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7.
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Find the standard form of the equation of the
parabola with the given characteristic and vertex at the origin.
Horizontal axis and passes
through the point 
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8.
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Find the vertex and directrix of the
parabola.
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9.
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Find the standard form
of the equation of the ellipse with the given characteristics and center at the
origin.
Vertical major axis passes through the points  and  .
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10.
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An elliptical stained-glass insert is to be fitted
in a
rectangular opening (see figure). Using
the coordinate system shown, find an equation for the ellipse.
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11.
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Find the center and vertices of the
ellipse.
a. | center: (7,
2) vertices: (–7, –2), (7,
2) | b. | center: (0,
0) vertices: (0, –7), (0,
7) | c. | center: (0,
0) vertices: (–7, 0), (7,
0) | d. | center: (7,
0) vertices: (0, –2), (0,
2) | e. | center: (0,
0) vertices: (–2, 0), (2,
0) |
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12.
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Find the standard form of the equation of the
hyperbola with the given characteristics.
Vertices: (4,0),(8,0); foci: (0,0),
(10,0)
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13.
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Find the center, vertices and foci of the
hyperbola.
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14.
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Select the graph of the equation as a circle, a
parabola, an ellipse, or a hyperbola.
a. | Hyperbola | b. | Parabola | c. | Circle | d. | Ellipse | e. | None of the
above |
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15.
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Select the correct equation of the following
graph.
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16.
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Use the discriminant to
classify the graph.
a. | The graph is a hyperbola. | b. | The graph is a line. | c. | The graph is a
ellipse or Circle. | d. | The graph is a
parabola. | e. | The graph is a
cone. |
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17.
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Convert the rectangular equation to polar form.
Assume  .
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18.
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Select the correct graph of the polar equation.
Find an interval for  for which the graph is traced only
once.
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19.
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Identify the conic and select its correct
graph.
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20.
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By using a graphing utility select the correct
graph of the polar equation. Identify the graph.
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