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Math 160

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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 .

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  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

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  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

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