Coordinate Geometry in the (x,y) plane

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Coordinate geometry in the (x,y) plane

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How is the graph y=f(x) transformed to become y=f(x+a) ?

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How is the graph y=f(x) transformed to become y=af(x) ?

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y=-f(x) ?

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y=f(x) -a

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How is the graph y=f(x) transformed to become y=f(ax) ?

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y=f(-x) ?

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y=f(x-a)

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f(x)+a

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