1. Transformations of Functions Viviana C. Castellón East Los Angeles College MEnTe Mathematics Enrichment through Technology

2. Graph

3. Given the following function, If: a > 0, then shift the graph “a” units up If:a< 0, then shift the graph “a” units down

4. Given the following function, Since a > 0, then the graph will be shift up “5” units

5. Let’s graph

6. Given the following function, How will the graph look?

7. Let’s graph

8. Given the following function, Since a < 0, then the graph will be shift down “3” units

9. Let’s graph

10. Given the following function, How will the graph look?

11. Let’s graph

12. Given the following function, For this equation, b is inside the parenthesis. We get the expression and equal it to zero. If: b > 0, then shift the graph “b” units right If: b < 0, then shift the graph “b” units left

13. Given the following function, We get the expression and equal it to zero. Since b < 0, then shift the graph “2” units left

14. Let’s graph

15. How will the graph look?

16. Let’s graph

17. How will the graph look?

18. Let’s graph

19. How will the graph look?

20. Let’s graph

21. Recall: a > 0 then shift up a < 0 then shift down Equal the expression to zero b > 0 then shift to the right b < 0 then shift to the left

22. Let’s graph How will the graph look?

23. Let’s graph

24. How will the graph look?

25. Let’s graph

26. How will the graph look?

27. Let’s graph

28. How will the graph look?

29. Let’s graph

30. Given the following function, For this equation, c determines how wide or thin the parabola will be. if: |c|>1, then the graph is closer to the y-axis if: |c|=1, then the graph remains the same if: 0<|c|<1, then the graph is further from the y-axis if c is a negative number, then the graph will reflect on the x-axis

31. Let’s graph

32. Given the following function, Since |c|>1, then the graph is closer to the y-axis

33. Let’s graph

34. How will the graph look?

35. Let’s graph

36. How will the graph look?

37. Let’s graph

38. Recall: a>0 then shift up a<0 then shift down Equal the expression to zero b>0 then shift to the right b<0 then shift to the left if: |c|>1, then closer to the y axis if: |c|=1, then the graph is the same if: 0<|c|<1, then further from the y axis

39. Let’s graph How will the graph look?

40. Let’s graph

41. How will the graph look?

42. Let’s graph

43. How will the graph look?

44. Let’s graph

45. How will the graph look?

46. Let’s graph

47. Congratulations!! You just completed the transformation of