1. Transverse Axis Asymptotes of a Hyperbola

2. Definition of Hyperbola
A hyperbola: a plane curve generated by a point so moving that the difference of the distances from two fixed points(foci) is a constant : a curve formed by the intersection of a double right circular cone with a plane that cuts both halves of the cone

3. Horizontal and Vertical Hyperbola
The foci are on the Transversal Axis.

4. Parts of the hyperbola

5. Equations of Hyperbola
Horizontal Vertical

6. Graphing a Hyperbola
Find a, b, c, h and k

7. Graphing a Hyperbola
Find a, b, c, h and k

8. Graphing a Hyperbola
Center (-3,2)

9. Graphing a Hyperbola
Center (-3,2)

10. Graphing a Hyperbola
Center (-3,2)

11. Graphing a Hyperbola
Center (-3,2)

12. Graphing a Hyperbola
Center (-3,2)

13. Equations of the Asymptotes
Horizontal Vertical
In this graph

14. Graphing a Hyperbola
Center (-3,2)

15. Graphing a Hyperbola
Center (-3,2)

16. Writing the equation of a Hyperbola
Given Vertices (1, 2); (3, 2) horizontal
Center is (2, 2) h = 2 a = 3 – 2
k = 2 a = 1
Asymptotes y = x; y = -x + 4
b = 1

17. Writing the equation of a Hyperbola
horizontal
h = 2 a = 1
k = 2 b = 1

18. How to Classify Conics
With the Equation of a Conics in Standard form

19. Classify the Conic
4x2 – y2 – 4x – 3 = 0

20. Classify the Conic
4x2 – y2 – 4x – 3 = 0
A= 4
C = -1

21. Classify the Conic 4x2 – y2 – 4x – 3 = 0 A= 4 A·C = - 4 - 4 < 0
Hyperbola

22. Homework
Page 732-
# 4, 10, 16, 20,
26, 32, 38, 44,
48, 54, 58

23. Homework
Page 732
# 5, 13, 18, 21,
23, 30, 33