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How do you show the function  $f(x)$  has shifted horizontally?
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Horizontal Shifts
Let $\mathrm{f}$ be a function and $\mathrm{c}$ a positive real number.
The graph of $\mathrm{y}=\mathrm{f}(\mathrm{x}+\mathrm{c})$ is the graph of $\mathrm{y}=\mathrm{f}(\mathrm{x})$ shifted to the left $c$ units. The graph of $\mathrm{y}=\mathrm{f}(\mathrm{x}+\mathrm{c})$ is the graph of $\mathrm{y}=\mathrm{f}(\mathrm{x})$ shifted to the right $c$ units.
$g(x)=(x-3)^{2}=f(x-3)$
$\mathrm{h}(\mathrm{x})=(\mathrm{x}+2) 2=\mathrm{f}(\mathrm{x}+2)$

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