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Math 160

Math 160. 2.2/2.5 – Graphs and Transformations of Functions. Ex 1. Graph . Ex 1. Graph . Ex 1. Graph . Ex 1. Graph . Ex 1. Graph . Ex 1. Graph . Ex 1. Graph . Ex 1. Graph . Ex 1. Graph . Ex 1. Graph . Ex 1. Graph . Ex 1. Graph . Ex 1. Graph . Ex 1.

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Math 160

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  1. Math 160 2.2/2.5 – Graphs and Transformations of Functions

  2. Ex 1. Graph .

  3. Ex 1. Graph .

  4. Ex 1. Graph .

  5. Ex 1. Graph .

  6. Ex 1. Graph .

  7. Ex 1. Graph .

  8. Ex 1. Graph .

  9. Ex 1. Graph .

  10. Ex 1. Graph .

  11. Ex 1. Graph .

  12. Ex 1. Graph .

  13. Ex 1. Graph .

  14. Ex 1. Graph .

  15. Ex 1. Graph .

  16. Ex 2. Graph .

  17. Ex 2. Graph .

  18. Ex 2. Graph .

  19. Ex 2. Graph .

  20. Ex 2. Graph .

  21. Ex 2. Graph .

  22. Ex 2. Graph .

  23. Ex 2. Graph .

  24. Ex 2. Graph .

  25. Ex 2. Graph .

  26. Ex 2. Graph .

  27. Ex 2. Graph .

  28. Ex 2. Graph .

  29. Ex 2. Graph .

  30. Ex 2. Graph .

  31. Ex 2. Graph .

  32. Ex 2. Graph .

  33. Transformations of Functions For a function , and , shifts up shifts down stretches vertically (if ), or shrinks vertically (if ) reflects about -axis shifts right shifts left stretches horizontally (if , or shrink horizontally (if ) reflects about -axis

  34. Transformations of Functions For a function , and , shifts up shifts down stretches vertically (if ), or shrinks vertically (if ) reflects about -axis shifts right shifts left stretches horizontally (if , or shrink horizontally (if ) reflects about -axis

  35. Transformations of Functions For a function , and , shifts up shifts down stretches vertically (if ), or shrinks vertically (if ) reflects about -axis shifts right shifts left stretches horizontally (if , or shrink horizontally (if ) reflects about -axis

  36. Basic Graphs

  37. Basic Graphs

  38. Basic Graphs

  39. Basic Graphs

  40. Basic Graphs

  41. Basic Graphs

  42. Basic Graphs

  43. Basic Graphs

  44. Note: To graph a transformed function, plot key points of basic function and then move points based on transformations. Typically, order of transformations is: 1. Horizontal stretch/shrink/reflect 2. Horizontal shift 3. Vertical stretch/shrink/reflect 4. Vertical shift

  45. Ex 3. Graph .

  46. Ex 3. Graph .

  47. Ex 3. Graph .

  48. Ex 3. Graph .

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