Please identify this curve fitting formula

Question

I have some non-linear data that I am trying to fit to an equation and have very little experience with this. I have found this formula, which best fits my data:

y0 + a/(x-x0)

x being my data, y0, a, and x0 are the parameter estimates. I found this formula on https://plot.ly/create/ after creating a line chart with my x,y data and going to the Analysis > Curve Fitting option. It doesn't give a name for this equation.

Now I would like to begin to work backwards (ie calculate y0, a, and x0), but need to identify this equation to find more reading material for it.

Answer 1

This is hyperbola curve.

You can get such curve having the simplest y=1/x curve, then shifting it right by x0 (vertical asymptote), stretching in vertical direction a times and shifting in vertical direction by y0 (horizontal asymptote)

example