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.