Multiple Choice
Identify the choice that best completes the
statement or answers the question.
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1.
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Graph  on a graphing calculator. Identify the conic section.
Then, describe the center and intercepts. a. | Hyperbola with center (0, 0) and intercepts (2, 0) and (–2
0). | b. | Ellipse with center (0, 0) and intercepts
(4, 0), (–4, 0), (0, 8), and (0,
–8). | c. | Circle with center (0, 0) and intercepts
(8, 0), (–8, 0), (0, 8), and (0,
–8). | d. | Ellipse with center (0, 0) and intercepts
(2, 0), (–2, 0), (0, 4), and (0,
–4). |
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2.
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Find the center and radius of a circle that has a diameter with endpoints 
and  . a. | center  ; radius 5 | c. | center  ; radius
5 | b. | center  ; radius 10 | d. | center  ; radius
10 |
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3.
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Graph the equation  .
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4.
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Write the equation of a circle with center  and radius  .
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5.
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Write the equation of the circle with center  and containing the point
 .
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6.
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Write the equation of the line that is tangent to the circle  at the point
 .
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7.
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Write an equation in standard form for the ellipse shown with center (0,
0). 
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8.
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Graph the ellipse  .
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9.
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Write an equation in standard form for the hyperbola with center  , vertex  ,
and focus  .
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10.
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Write the equation in standard form for the parabola with vertex  and the
directrix  .
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11.
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Find the vertex, value of p, axis of symmetry, focus, and directrix of
the parabola  . Then, graph the parabola. a. | Vertex  , focus  ,  , axis of symmetry  ,
and directrix  . | b. | Vertex  ,
focus  ,  , axis of symmetry  , and directrix  .
 | c. | Vertex  , focus  ,  ,
axis of symmetry  , and directrix  .
 | d. | Vertex  ,
focus  ,  , axis of symmetry  , and directrix  .
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12.
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Identify the conic section the equation  represents. a. | parabola | c. | circle | b. | ellipse | d. | hyperbola |
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13.
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Identify the conic section that the equation  represents. a. | circle | c. | ellipse | b. | hyperbola | d. | parabola |
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14.
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Find the standard form of the equation  by completing the square.
Then, identify and graph the conic section. a. | ellipse
 | c. | hyperbola
 | b. | ellipse
 | d. | hyperbola
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15.
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Which of the following is the equation for the graph shown? 
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16.
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Solve  by graphing.
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17.
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Solve  by using the substitution method.
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18.
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Solve  by using the elimination method. a. | {(3, 0), (–3, 0)} | b. | The system has no solution. | c. | {(0,  ), (0,  )} | d. | {(3,  ), (3,  ), (–3,  ), (–3,  )} |
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