I have created some data numerically and plotted it.

It looks like a sine wave that has been scaled down and with a period of 1.

However, comparing it to a function of the form y = K_{1}* sin(2 * PI * x), indicates that this proposed function is NOT a fit.

Simply translating a sine curve vertically or horizontally doesn't work.

It looks like a Pringle potato chip that is being viewed from the side.

I have attached a screen capture of the plot.

Any suggestions as to what kind of function would describe this plot?

All help is much appreciated.