Answer
$g(x)=(x-2)^{2}=x^{2}-4x+4$
Work Step by Step
We obtain $g(x)$ by shifting $f(x)=x^2$ two units to the right, i.e. $y=f(x-2)$:
$g(x)=(x-2)^{2}=x^{2}-4x+4$
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