The base function is: f(x) = x³
f(x + a) translates f(x) a units to the left. Then, f(x + 1) = (x + 1)³ translates f(x) 1 unit to the left.
-f(x) reflects f(x) about the x-axis. Then, -f(x + 1) = -(x + 1)³ reflects f(x) about the x-axis.
f(x) + b translates f(x) up b units. Then: -f(x + 1) + 1 = -(x + 1)³ + 1 translates f(x) up 1 unit.
In conclusion, the order of transformations is:
left 1 unit, reflection about the x-axis, up 1 unit.