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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