Respuesta :
f(x) + n - shift a graph of f n units up
f(x) - n - shift a graph of f n units down
f(x + n) - shift a graph of f n units left
f(x - n) - shift a graph of f n units right.
f(x) = x³, g(x) = (x - 2)³ - 3 = f(x - 2) - 3
2 units right and 3 units down.

The graph of f(x) is translated to g(x) by shifted to the right by '2' units and then shifted down by '3' units.
What is the translation of a graph?
"The translation of a graph is the rigid movement of the graph, either vertically or horizontally. "
The given function is: f(x) = x³
The translated function of f(x) is g(x) = (x - 2)³ - 3
Therefore, it is clear from the given two functions that:
1. At first, the graph f(x) is shifted to the right by '2' units.
2. After that, the translated graph is again shifted down by '3' units.
Learn more about translation of a graph here: https://brainly.com/question/12377363
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