Explanation:
g(x) = f(x) that moved 4 units down and 1.5 units to the left.
the turning point in the middle of the function tells us this clearly.
to make that translation happen, it means
g(x) = f(x + 1.5) - 4 = (x - -1.5)³ + -4
the "-4" simply subtracts 4 units from every function result f(x) calculated. that moves everything down by 4 units.
and the "-1.5" (actually "x + 1.5") makes every function result of f(x) happen 1.5 units "earlier" for g(x). so, a shift to the left.