1. Algebra Conic Section Review

2. Review Conic Section 1. Why is this section called conic section? 2. Review equation of each conic section A summary of circles, ellipses, parabolas and hyperbolas http://britton.disted.camosun.bc.ca/jbconics.htm Each shape comes from slicing a cone.

3. Vertex= Directrix: Open : Information about _____________________ Fill in the blank below and complete the following examples. Focus:

4. Vertex= Directrix: Open : Information about _____________________ Fill in the blank below and complete the following examples. Focus:

5. Information about _____________________ Fill in the blank below and complete the following examples. Vertex= Directrix: Open : Focus:

6. Information about _____________________ Fill in the blank below and complete the following examples. Vertex= Directrix: Open : Focus:

7. Center: Vertices: Co-Vertices Foci: Information about equation of _____________________ Fill in the blank and complete the following examples.

8. Center: Vertices: Co-Vertices Foci: Information about equation of _____________________ Fill in the blank and complete the following examples.

9. Information about equation of _____________________ Fill in the blank and complete the following examples. Center: Vertices: Co-Vertices Foci:

10. Information about equation of _____________________ Fill in the blank and complete the following examples. Center: Vertices: Co-Vertices: Foci:

11. Center: Radius: Complete the problem by finding the missing parts.

12. Center: Radius: Complete the problem by finding the missing parts.

13. Center: Vertices: Foci: Information for ____________ Fill in the blank and then complete the examples.

14. Center: Vertices: Foci: Information for ____________ Fill in the blank and then complete the examples.

15. Center: Vertices: Foci: Information for ____________ Fill in the blank and then complete the examples.

16. Center: Vertices: Foci: Information for ____________ Fill in the blank and then complete the examples.

17. 1. What is the graph of 4x 2 = y 2 + 8y + 32 ? A. Circle B. Parabola C. Ellipse D. Hyperbola

18. 2. What is the graph of 5x 2 + 10x + 5y 2 = 9? A. Circle B. Parabola C. Ellipse D. Hyperbola

19. 3. What is the graph of 4x 2 = y – 24x + 35? A. Circle B. Parabola C. Ellipse D. Hyperbola

20. 4. What is the graph of 9x 2 + 4y 2 +36x- 24y + 36=0 ? A. Circle B. Parabola C. Ellipse D. Hyperbola

21. 5. Write the equation of the parabola whose vertex is at (4,-3) and whose focus is at (4,8)?

22. 5. Write the equation of the parabola whose vertex is at (4,-3) and whose focus is at (4,8)?

23. 6. Which of the following is an equation for the circle whose center is at (-3,6) and the radius is 4? A.(x – 3) 2 + (y – 6) 2 = 8 B. (x + 3) 2 + (y + 6) 2 = 16 C. (x + 3) 2 – (y – 6) 2 = 24 D. (x + 3) 2 + (y – 6) 2 = 16 E. (x – 3) 2 – (y – 6) 2 = 4 D

24. 7. Which of the following is an equation of the ellipse with foci at (2,4) and (-6,4) and vertices at (-8,4) and (4,4)? C

25. 8. What is the standard form of the hyperbola with foci at (0,5), (0,-5) and Vertices at (0,2), (0,-2)?

26. 8. What is the standard form of the hyperbola with foci at (0,5), (0,-5) and Vertices at (0,2), (0,-2)?

27. 9. What are the foci of the ellipse 17x 2 +8y 2 =136? (0,3), (0-3)

28. 9. What are the foci of the ellipse 17x 2 +8y 2 =136? (0,3), (0-3)

29. 10. What is the directrix of the parabola with equation x 2 =-28y ? A. x = 28 B. y= -7 C. y = 7 D. y= -28 E. x= 7 C

30. A circle has a diameter with endpoints of (8, –1) and (0, –1). Find the radius. Write the equation for the circle in standard form.

31. A circle has a diameter with endpoints of (8, –1) and (0, –1). Find the radius. Write the equation for the circle in standard form.

32. 11. Name the conic section first. Then, graph it. x + 10 = -2y 2 – 12y

33. 11. Name the conic section first. Then, graph it. x + 10 = -2y 2 – 12y

34. 12. Name the conic section first. Then, graph it. x 2 +y 2 +8y +4x-5=0

35. 12. Name the conic section first. Then, graph it. x 2 +y 2 +8y +4x-5=0

36. 13. Name the conic section first. Then, graph it. x 2 + 4y 2 + 10x + 24y + 45=0

37. 13. Name the conic section first. Then, graph it. x 2 + 4y 2 + 10x + 24y + 45=0

38. 14. Name the conic section first. Then, graph it. 4y 2 - 25x 2 = 100

39. 14. Name the conic section first. Then, graph it. 4y 2 - 25x 2 = 100

40. 15. Name the conic section first. Then, graph it. 36y 2 -4x 2 + 216y -40x + 80=0

41. 15. Name the conic section first. Then, graph it. 36y 2 -4x 2 + 216y -40x + 80=0