Name:    Chapter 10 Post Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Find the inclination (in degrees) of the line with a slope of . Round your answer to one decimal places.

 a. b. c. d. e.

2.

 a. b. c. d. e.

3.

 a. b. c. d. e.

4.

Select the graph of the following equation:

 a. d. b. e. c.

5.

Select the graph of the following equation

 a. d. b. e. c.

6.

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

7.

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
 a. x b. x c. x d. y e. y

8.

Find the vertex and directrix of the parabola.
 a. vertex:           directrix: b. vertex:           directrix: c. vertex:           directrix: d. vertex:           directrix: e. vertex:           directrix:

9.

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 .
 a. b. c. d. e.

10.

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.
 a. b. c. d. e.

11.

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)

12.

Find the standard form of the equation of the hyperbola with the given characteristics.

Vertices: (4,0),(8,0); foci: (0,0), (10,0)
 a. b. c. d. e.

13.

Find the center, vertices and  foci of the hyperbola.

 a. Center: Vertices: 6,Foci: , b. Center: Vertices: 6,Foci: , c. Center: (0,0)Vertices: )Foci:  ) d. Center: Vertices: )Foci:  ) e. Center: Vertices: ,Foci: ,

14.

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

15.

Select the correct equation of the following graph.

 a. b. c. d. e.

16.

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.

17.

Convert the rectangular equation to polar form. Assume .

 a. b. c. d. e.

18.

Select the correct graph of the polar equation. Find an interval for for which the graph is traced only once.

 a. d. b. e. c.

19.

Identify the conic and select its correct graph.

 a. Parabola d. Parabola b. Parabola e. Parabola c. Hyperabola

20.

By using a graphing utility select the correct graph of the polar equation. Identify the graph.

 a. Hyperbola d. Hyperbola b. Hyperbola e. Hyperbola c. Hyperbola