 Download Presentation Math 160

# Math 160

Download Presentation ## Math 160

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

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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

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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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