Fit data points to specific shaped curve (maybe lognormal?)

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I have lots of data that always form this shape of graph.

I have been looking for functions that match this type of curve and the only one that fits the shape seem to be the Log-normal distribution graph.

What I am looking to do is to create some type of regression for future data when I have just gotten a bit of the graph.

I think that the data is always taking on this regular general shape so maybe it is possible.

I know the general formula for the lognormal curve but I'm not sure how to calculate sigma and mu in this case for the graph to fit my data?