answer: the graph is not in the options attached, and there are two optios repeated (the second and the third). , see the graph in the attached file.
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solution:
f(x)=x^3
g(x)=(x-2)^3-3
when we subtract a value to the variable "x" in the form of "x-a", the graph of the parent function is translated "a" units to the right. in this case a=2, then the parent function is translated 2 units to the right.
when we subtract a value to the function "y" in the form of "y-b", the graph of the parent function is translated "b" units downward. in this case b=3, then the parent function is translated 3 units downward.
the parent function is translated 2 units to the right and 3 units downward.