Answer:
A. (x + 2)³ + 5
Explanation:
the "+ 5" is easy : we move 5 units up, that means we are adding 5 units to every function result f(x) calculates.
the shift to the left we need to really think through :
2 units to the left means that for every x-value for g(x) we need to calculate the f(x) function value of the x-value of 2 units "later" (or to the right). in other words : we make the function result value happen 2 units "earlier" than for f(x).
we achieve that by adding 2 units to x, so that f(x) "thinks" it is 2 units "later". and the result happens therefore already 2 units "earlier".
so,
g(x) = f(x + 2) + 5 = (x + 2)³ + 5