1. Hyperbola

7. Definition of a hyperbola
difference between distances to each foci is constant

10. Hyperbola

11. Formula

12. Equations of the asymptotes

15. Rectangular hyperbola

16. Sketch the graphs

17. Parametric equations of the hyperbola

18. Find the tangent to the curve at

19. A ray of light emanating from one focus of a hyperbola will be reflected back along the line from the opposite focus.

21. Light reflection properties of hyperbolas are used to advantage in the design of high-quality telescopes

22. A line tangent to a hyperbola at a point P makes equal angles with the lines through P and the foci

35. Homework
Exercise 13.7
Delta exercise 14.2,
Numbers 4, 7