1. Section 3.5 Graphing Techniques: Transformations

2. Graphing Functions Using Vertical and Horizontal Shifts

3. Example: Vertical Shift Up

4. Example: Vertical Shift Down

5. Vertical Shifts

6. Horizontal Shifts

7. Horizontal Shift to the Right

8. Horizontal Shift to the Left

9. Combining  and  Shifts

10. Graph Functions Using Compressions and Stretches

11. Vertical Stretch

12. Vertical Compression

13. Vertical Stretches or Compressions

14. Horizontal Stretches or Compressions

15. Graphing Using Stretches or Compressions

18. Graphing Functions Using Reflections about the x-axis and the y-axis

19. Reflection about the x-axis

21. Reflection about the y-axis

23. Summary of Graphing Techniques

26. Determining the Function from a Series of Transformations

27. Determine the Function

28. Combining Graphing Procedures