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Name _____________________________ Class ___________________Date ____________
Chapter Test
Form A
Chapter 10
Identify the center and intercepts of each conic section. Give the domain and
range of each graph.
1.
2.
3.
4.
Identify the focus and the directrix of the graph of each parabola.
5. y = 4x2
6. x = 6y2
7. x  3y2 = 0
Write an equation of a parabola with a vertex at the origin.
8. focus (0, 2)
9. focus (4, 0)
10. directrix at y = 8
11. Writing Explain how you can tell whether a parabola opens upward,
downward, to the left, or to the right.
Find the radius and center of each circle.
12. (x  2)2 + (y  3)2 = 16
13. x2 + (y + 4)2 = 8
14. (x + 1)2 + (y  2)2 = 12
15. (x  6)2 + y2 = 25
Use the given information to write an equation of the circle.
16. radius 3, center (2, 4)
17. area 12.57, center (1, 2)
18. center (5, 1), circumference 5
19. center (0, 0), passing through (2, 0)
20. Open-Ended Write the equation of a circle that has a center at (2, 3).
Find an equation of an ellipse for each given height and width.
Assume that the center of the ellipse is (0, 0).
21. height 10 units, width 8 units
22. height 4 units, width 6 units
23. height 16 ft, width 9 ft
24. height 11 ft, width 22 ft
Find the foci of each ellipse or hyperbola.
25.
x2 y 2

1
49 36
26.
x2 y 2

1
9 64
27.
Write an equation of an ellipse with the given characteristics.
28. center (0, 0), vertical major axis of length 12, minor axis of length 4
29. center (1, 5), vertex (3, 5), co-vertex (1, 7)
x2 y 2

1
9 16
Name _____________________________ Class ___________________Date ____________
Chapter Test (continued)
Form A
Chapter 10
Write an equation of a hyperbola with the given characteristics.
30. vertices (2, 0), foci (3, 0)
31. vertices (3, 4), foci (3, 5)
Find the equation of a hyperbola with the given a and c values. Assume that
the transverse axis is horizontal.
32. a = 12 units, c = 36 units
33. a = 106 units, c = 156 units
34. A hyperbola has asymptotes y =  53 x. Which statement is true?
A. The conjugate axis is parallel to the transverse axis.
B. The vertices are (0, 3) and (0, 3).
C. The hyperbola has only one y-intercept.
D. There is a focus at (3, 5).
E. None of the above statements are true.
Identify the conic section represented by each equation. For a parabola, give
the vertex. For a circle, give the center and radius. For an ellipse or a
hyperbola, give the center and foci. Sketch the graph.
35. x2  4y2 + 4x + 8y  16 = 0
36. 25x2 + 4y2  50x  24y  39 = 0
37. x2 + y2  4x + 2y + 1 = 0
38. x2  4x  y + 7 = 0
39. x + 2y2 + 4y  2 = 0
40. x2 + 9y2 + 8x  54y + 88 = 0