The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x – 1)3 + 2. Which is the graph of g(x), the translated function?

The graph of the translated function [tex]\rm g(x) = (x-1)^3+2[/tex] is attached below and this can be sketched by using the rules of transformation.

Given :

Parent Function --- f(x) = [tex]\rm x^3[/tex]

Translated Function --- [tex]\rm g(x) = (x-1)^3+2[/tex]

The following steps can be used in order to sketch the graph of the translated function:

Step 1 - Write the parent function.

[tex]\rm f(x) = x^3[/tex]

Step 2 - Now, translate the above function graph in the right direction that is in the positive x-axis direction by factor 1. The mathematical expression of the resulting graph is:

[tex]\rm a(x) = (x-1)^3[/tex]

Step 3 - Now, again translate the graph of the function a(x) in the upward direction that is in the positive y-axis direction by factor 2. The mathematical expression of the resulting graph is:

[tex]\rm g(x) = (x-1)^3+2[/tex]

The graph of the function g(x) is attached below.

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https://brainly.com/question/16608196