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The rules for various transformations in function notation, including horizontal and vertical shifts, stretches, and reflections. It provides examples of each transformation in function notation and charts, making it a valuable resource for students studying calculus or functions. The document also includes practice problems for identifying transformations.
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g(x) is shifted up 3 units and vertically compressed by 1/3.
f(x) is shifted right 1 unit and reflected over the x-axis
h(x) is horizontally stretched by 3, shifted to the left 2 units, and shifted down 4.