Three functions are given, f (x) = x², g(x) = ax², and h(x) = x² + b where a -1,0, 1 and b ± 0.
Part A
Describe the possible transformations for the graph of f (x) to g (x).
Part B
Describe the transformation for the graph of f (x) to h (x).
Part C
Explain how g (x) and h (x) can be shifted horizontally. Write a function to represent these shifts.