1. (C) Transformations

2. (C) Transformations Given that the graph y = f ( x ) can be sketches, then it is possible to build other sketches through appropriate transformations.

3. (C) Transformations Given that the graph y = f ( x ) can be sketches, then it is possible to build other sketches through appropriate transformations. ( a is grouped with y: shift up or down by a )

4. (C) Transformations Given that the graph y = f ( x ) can be sketches, then it is possible to build other sketches through appropriate transformations. ( a is grouped with y: shift up or down by a ) y = f ( x ) y x

5. (C) Transformations Given that the graph y = f ( x ) can be sketches, then it is possible to build other sketches through appropriate transformations. ( a is grouped with y: shift up or down by a ) y = f ( x ) a a a a y x

6. (C) Transformations Given that the graph y = f ( x ) can be sketches, then it is possible to build other sketches through appropriate transformations. ( a is grouped with y: shift up or down by a ) ( a is grouped with x: shift left or right by a ) y = f ( x ) a a a a y x

7. (C) Transformations Given that the graph y = f ( x ) can be sketches, then it is possible to build other sketches through appropriate transformations. ( a is grouped with y: shift up or down by a ) ( a is grouped with x: shift left or right by a ) y = f ( x ) a a a a b b b b b y x

8. ( reflect f(x) in the x axis )

9. ( reflect f(x) in the x axis ) y = f ( x ) y x

10. ( reflect f(x) in the x axis ) y = f ( x ) y x

11. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) y x

12. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) y x

13. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) y x

14. ( reflect f(x) in the x axis ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis )

15. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) y x

16. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) y x

17. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) y x

18. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) y x

19. ( reflect f(x) in the x axis ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis )

20. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) y x

21. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) y x

22. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) y x

23. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) y x

24. ( reflect f(x) in the x axis ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) ( stretch f(x) vertically, k<1 shallower,k>1 steeper )

25. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) ( stretch f(x) vertically, k<1 shallower,k>1 steeper ) y x

26. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) ( stretch f(x) vertically, k<1 shallower,k>1 steeper ) y x

27. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) ( stretch f(x) vertically, k<1 shallower,k>1 steeper ) y x

29. ( reflect f(x) in the x axis ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) ( stretch f(x) vertically, k<1 shallower,k>1 steeper ) ( stretch f(x) horizontally, k<1 shallower,k>1 steeper )

30. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) ( stretch f(x) vertically, k<1 shallower,k>1 steeper ) ( stretch f(x) horizontally, k<1 shallower,k>1 steeper ) y x

31. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) ( stretch f(x) vertically, k<1 shallower,k>1 steeper ) ( stretch f(x) horizontally, k<1 shallower,k>1 steeper ) y x

32. ( reflect f(x) in the x axis ) y = f ( x ) ( reflect f(x) in the y axis ) ( reflect the part of f(x) where f(x)<0 in the x axis ) ( reflect the part of f(x) where x>0 in the y axis ) ( stretch f(x) vertically, k<1 shallower,k>1 steeper ) ( stretch f(x) horizontally, k<1 shallower,k>1 steeper ) y x