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The function $f$ is defined by $f(x)=7x^{3}$. In the xy-plane, the graph of $y=g(x)$ is the result of shifting the graph of $y=f(x)$ down 2 units. Which equation defines function $g$?
Difficulty: Medium
A:

$g(x)=\frac{7}{2}x^{3}$

B:

$g(x)=7x^{\frac{3}{2}}$

C:

$g(x)=7x^{3}+2$

D:

$g(x)=7x^{3}-2$

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