The illustration shows the graphs of twelve functions. Three of
them have equations y=x^2, x=y^2 and x=-y^2+2. Find the equations
of all the other graphs.

Sine Problem

Age 16 to 18 Challenge Level

In this image, one of the graphs is that of the sine function. Find the equations of the other graphs to reproduce the pattern.

Many thanks Aditya Sahu from Bristol Grammar School for sending us this puzzle.