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Answer :

Answer:

The correct answer is d.

Step-by-step explanation:

Let's solve each answer and see which one matches.

Note that in each case, you simply add or subtract from x inside the radical to move left or right respectively.  Similarly, just add or subtract to the full expression to move up or down respectively. Doing so we get:

a) [tex]f(x) = \sqrt[3]{x + 7} + 3[/tex]

b)[tex]f(x) = \sqrt[3]{x - 3} - 7[/tex]

c)[tex]f(x) = \sqrt[3]{x - 3} + 7[/tex]

d)[tex]f(x) = \sqrt[3]{x - 7} + 3[/tex]

So d is the correct answer.