In this case, we'll have to carry out several steps to find the solution.
Step 01:
5. data:
f(x) = x³
Step 02:
transformation of a function:
5.
shift 5 units to the right:
f(x) = (x - 5)³
reflect to the y-axis:
f(x) = (- x - 5)³
stretch vertically by a factor of 2:
f(x) = 2 (- x - 5)³
The answer is:
f(x) = 2 (- x - 5)³