1. Section 10.3 The Parabola

2. Definition of a Parabola

5. Example

6. Standard Form of the Equation of a Parabola

8. Example

9. Using the Standard Form of the Equation of a Parabola

13. Example

14. Example

15. Translations of Parabola

20. Example

21. Example

22. Example

23. Example

24. Applications

25. Applications of Parabolas- cables on suspension bridges, arches on bridges, solar cookers, reflectors on lights, satellite dishes

26. Example
6 feet
cooker
(3,1)
1 foot
(0,0)

27. Degenerate Conic Sections

28. Intersections might now result in a conic section
Intersections might now result in a conic section. Three degenerate cases occur when the cutting plane passes through the vertex. These degenerate conic sections are a point, line, and a pair of intersecting lines.

29. (a)
(b)
(c)
(d)

30. (a)
(b)
(c)
(d)

31. (a)
(b)
(c)
(d)