Respuesta :

Using translation concepts, function g(x) is given by:

C. [tex]y = \sqrt[3]{x - 1} + 2[/tex].

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent cube root function [tex]y = \sqrt[3]{x}[/tex] was:

  • Shifted right one unit, hence x -> x - 1.
  • Shifted up two units, hence y -> y + 2.

Then, function g(x) is given by:

C. [tex]y = \sqrt[3]{x - 1} + 2[/tex].

More can be learned about translation concepts at https://brainly.com/question/4521517

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