In this problem we are faced with an apparently easy area problem,
but it has gone horribly wrong! What happened?
The illustration shows the graphs of fifteen functions. Two of them have equations y=x^2 and y=-(x-4)^2. Find the equations of all the other graphs.
Knowing two of the equations find the equations of the 12 graphs of
cubic functions making this pattern.
This problem is taken from the UKMT Mathematical Challenges.