The function y = x^3 has been vertically stretched by a factor of 5, horizontally compressed by factor of 1/2, horizontally translated 2 units to the right, and vertically translated 4 units up.
a) Write the equation of the transformed function in the form f(x) = a[k(x - d)]^3 + c
b) The point (1, 1) is on the parent function. Determine the new coordinates of this point on the transformed function. Show your work. [5 marks]