Name
10-1
Class
Date
Practice
Form G
Exploring Conic Sections
Graph each equation. Identify the conic section and describe the graph and its
lines of symmetry. Then find the domain and range.
1. 9x2 + 4y2 = 36
2. x2  y2 = 4
3. 8x2 + 8y2 = 40
Identify the center and intercepts of each conic section. Give the domain and range of each
graph. (On graphing calculator screens, each interval represents two units.)
4.
5.
6.
7.
8.
9.
Match each equation with a graph in Exercises 4–9.
10. x2 + 9y2 = 9
11. x2 + y2 = 25
12. 9x2 + y2 = 9
13. x2 + y2 = 9
14. 4x2 + 9y2 = 36
15. x2  y2 = 9
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Name
10-1
Class
Date
Practice (continued)
Form G
Exploring Conic Sections
Graph each equation. Describe the graph and its lines of symmetry. Then find
the domain and range.
16. 25x2  y2  25 = 0
17. y2  x2 = 9
18. 4y2  9x2 = 36
19. x2 + y2 = 4
20. x2 + y2 = 36
21. 3x2 + 3y2  9 = 0
22. 4x2 + 9y2  36 = 0
23. 6x2 + y2  12 = 0
24. 9x2 + y2 = 9
25. Error Analysis One student identifies four types of conic sections. Another says there are
only three types (hyperbola, circle, and ellipse). Who is correct? Explain how conic
sections are found.
Mental Math Each given point is on the graph of the given equation. Use
symmetry to find at least one more point on the graph.
26. (1, 2); y2 = 4x
27. (2, 0); x2 + y2  4 = 0
28. (0,3); x2 + 2y2 = 18
29. (1, 0); 4x2 + 4y2 = 4
30. Reasoning A student wants to graph a circle with the equation x2 + y2 = 25. What
points could he use to determine a sketch of the graph?
Prentice Hall Gold Algebra 2 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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