Conic Sections - Circles, Ellipses, Hyperbolas

Lesson: 

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Description: 

This worksheet contains problems where students graph or identify the graphs of circles , ellipses, and hyperbolas (including lines of symmetry. domain. range, and interecepts). The majority of problems in this worksheet are multiple choice.

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0

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0

Answer Key: 

No

Samples: 

Graph the equation. Describe the graph and its lines of symmetry.

1. x2 + y2 = 36

3. 16x2 + 4y2 = 49

8. Graph -3x2 + 12y2 = 24. Find the domain and range.

9-14 Identify the center and intercepts of the conic section. Then find the domain and range.

15-16 This ellipse is being used for a design on a poster. Name the x-intercepts and y-intercepts of the graph.

19. The graph shows the pattern of the water from a sprinkler used for irrigating crops. Each unit on the graph represents one yard.
a. What are the intercepts of the circle?
b. Write an equation for the circle of water from the sprinkler.
c. What is the diameter of the circle of land watered by the sprinkler? Explain how you found your answer.
d. What is the area of land covered by the sprinkler?