Determine the Function $f(x)$ That Has Been Graphed $f(x) a \sqrt{x-h}+k$ Or $f(x)=a(x-h)^{3}+k$

Multiple Choice

Determine the function $f(x)$ that has been graphed. The function will be of the form $f(x) a \sqrt{x-h}+k$ or $f(x) =a(x-h) ^{3}+k$ . Assume $a=1$ or $a=-1$ .
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A) $f(x) =x^{3}+1$
B) $f(x) =(x+1) ^{3}$
C) $f(x) =x^{3}-1$
D) $f(x) =(x-1) ^{3}$