Respuesta :

gmany

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.

Ver imagen gmany

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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Ver imagen RajarshiG