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Section 1.3

Section 1.3. Shifting Graphs. f(x) + c: moves the graph up f(x) – c: moves the graph down f(x+ h): moves the graph left f(x-h): moves the graph right. Reflecting Graphs. -f(x): reflects (flips) the graph over the x-axis f(-x): reflects (flips) the graph over the

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Section 1.3

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  1. Section 1.3

  2. Shifting Graphs • f(x) + c: moves the graph up • f(x) – c: moves the graph down • f(x+ h): moves the graph left • f(x-h): moves the graph right

  3. Reflecting Graphs • -f(x): reflects (flips) the graph over the x-axis • f(-x): reflects (flips) the graph over the y-axis

  4. Stretching and Shrinking Graphs • af(x): vertical stretch if the absolute value of a is greater than 1 multiply the y-values by a • af(x): vertical shrink if the absolute value of a is less than 1 multiply the y-values by a

  5. Stretching and Shrinking Graphs • f(ax): horizontal stretch if the absolute value of a is less than 1 multiply the x-values by the reciprocal of a • f(ax): horizontal shrink if the absolute value of a is greater than 1 multiply the x-values by the reciprocal of a

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