C
1) In this question, we will identify the transformation by its algebraic representation and then match it with the corresponding graph.
2) Let's consider the parent function to be f(x)=x³-10 the transformed version is g(x) we can see that g(x) is:
• Horizontally translated
,
• Shifted Down.
So, we can write g(x) as:

Thus, the answer is C