Answer :

Answer:

A) [tex]g(x)=\sqrt[3]{x+4}+3[/tex]

Step-by-step explanation:

The transformation that occured in the graph is that the function went up 3 and left 4. Algebraically, this would be [tex]g(x)=\sqrt[3]{x+4}+3[/tex]

Using translation concepts, it is found that the function g(x) is given by:

  • A. [tex]\sqrt[3]{x + 4} + 3[/tex]

Function f(x) is given by:

[tex]f(x) = \sqrt[3]{x}[/tex]

Looking at the graph, it can be seen that g(x) was shifted left 4 units, hence:

[tex]g(x) = f(x + 4) = \sqrt[3]{x + 4}[/tex]

Then, it was shifted up 3 units, then:

[tex]g(x) = f(x + 4) + 3 = \sqrt[3]{x + 4} + 3[/tex]

To learn more about translation concepts, you can check https://brainly.com/question/4521517

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