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Horizontal Shifts
These are quite simple as well though there is one bit where we have to be careful.
Given the graph of f ( x ) the graph of g ( x ) = f ( x + c ) will be the graph of f ( x ) shifted left through c units if c is +ve and or right by c units if c is -ve.
Now, we have to be careful here. A +ve c shifts a graph in the negative direction and a negative c shifts a graph in the +ve direction. They are precisely opposite than vertical shifts and it's simple to flip these around & shift wrongly if we aren't being careful.
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