f(x) + n - shift a graph n units up
f(x) - n - shift a graph n units down
f(x + n) - shift a graph n units left
f(x - n) - shift a graph n units right
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We have:
[tex]y=\dfrac{1}{x}\to y=\dfrac{1}{x+4}\\\\f(x)=\dfrac{1}{x}\to f(x+4)=\dfrac{1}{x+4}[/tex]