Graph transformations

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F(x) + a Increase y coordinate by a
F(x) ­ a Decrease y coordinate by a
F(x + a) Decrease x coordinate by a
F(x a) Increase x coordinate by a
aF(x) Multiply y coordinate by a
F(ax) Divide x coordinate by a
F(x) Change signs of the y
coordinates
F(x) Change signs of the x
coordinates

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