Answer:
[tex]y=\sqrt[3]{x+3}+3[/tex]
Step-by-step explanation:
The S-shaped curve is that of the cube root function (choices C or D). The parent function has its critical point at the origin. Here, that has been moved 3 units left and 3 units up.
Replacing x with x-a will move a function's graph to the right by "a" units. Here, we have a=-3, so we expect to see ∛(x-(-3)) = ∛(x+3). The graph of that is moved up 3 units by adding 3 to the function value. This gives ...
y = ∛(x+3) +3 . . . . . matches choice D
