1. Appendix C- Part 2 Graphs of Second Degree Equations

2. Today, we will review 2nd Degree equations such as:

4. Ellipse

5. Today, we will review 2nd Degree equations such as:

6. Hyperbola

7. Ellipse:

9. If the equation can be placed in this form, then:

10. Ellipse: If the equation can be placed in this form, then:

11. Ellipse: If the equation can be placed in this form, then:

12. Ellipse: If the equation can be placed in this form, then:

13. Example:

16. Discussion:

17. Which axis is the major axis?

18. Discussion: Which axis is the major axis? Length of the major axis is always?

19. Hyperbola:

23. Example:

24. List equation of the asymptotes:

25. Rectangular Hyperbola:

27. If k is a positive value, then the curve lies in quadrants 1 and 3.

28. Rectangular Hyperbola: If k is a negative value, then the curve lies in quadrants 2 and 4.

29. Rectangular Hyperbola: All curves of this type have asymptotes with equations: x = 0 and y = 0

30. Recognize shifted conics:

32. Recognize shifted rectangular Hyperbola:

34. Example: Find equations of both asymptotes:

35. Assignment: Page A 23 13-31 odd, 35 Make sketches for 13 – 21 odd and for the rest just identify the type of curve (hyperbola, ellipse, circle, or parabola).