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Conic Sections Practice Test

based on 7 ratings
By — McGraw-Hill Professional
Updated on Oct 4, 2011

Review the following concepts if needed:

Conic Sections Practice Test

  1. What is the directrix for the parabola ( y + 1) 2 = −6( x − 3)?

    Conic Sections Hyperbolas

  2. What is the focus for the parabola ( y + 1) 2 = −6( x − 3)?

    Conic Sections Hyperbolas

  3. What are the vertices for the ellipse

    Conic Sections Hyperbolas

    (a) (−2,2) and (4,2)

    (b) (−4,2) and (6,2)

    (c) (1,−3) and (1,7)

    (d) (1,−1) and (1,5)

  4. What are the foci for the ellipse

    Conic Sections Hyperbolas

    (a) (−3,2) and (5,2)

    Conic Sections Hyperbolas

    (c) (1,−2) and (1,6)

    Conic Sections Hyperbolas

  5. Which line is an asymptote for the hyperbola

    Conic Sections Hyperbolas

    (a) y = 2 x − 11

    (b) y = − 2 x − 9

    Conic Sections Hyperbolas

    Conic Sections Hyperbolas

  6. Solve for y .

    Conic Sections Hyperbolas

    Conic Sections Hyperbolas

  7. What is the center and radius for the circle ( x + 3) 2 + ( y −4) 2 = 9?

    (a) The center is (−3, 4), and the radius is 81.

    (b) The center is (−3,4), and the radius is 3.

    (c) The center is (3, −4), and the radius is 81.

    (d) The center is (3, −4), and the radius is 3.

  8. The graph in Figure 12.31 is the graph of which equation?

    (a) y 2 = 4 x

    (b) y 2 = −4 x

    (c) x 2 = −4 y

    (d) x 2 = 4 y

  9. Find an equation of the ellipse with vertices (8, −6) and (8,4) with a focus at (8,2).

    Conic Sections Hyperbolas

    Conic Sections Hyperbolas

    Fig. 12.31

    Conic Sections Hyperbolas

    Fig. 12.32

  10. Which equation is the equation of a hyperbola with center (1,0) and with asymptote y = 2 x −2?

    Conic Sections Hyperbolas

  11. The graph in Figure 12.32 is the graph of which equation?

    Conic Sections Hyperbolas

Solutions

  1. B
  2. A
  3. C
  4. C
  5. A
  6. A
  7. B
  8. D
  9. A
  10. D
  11. D

 

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