Method to find a type of equation that can fit a particular shape?

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I'm trying to find a mathematical expression for a function that can fit this kind of data: enter image description here

I wonder if there is a better way to do it than the naive high-order polynomial fit. It seems like there is a type of sinusoidal component on top of a parabola, however, the smearing of the sinusoidal component on the right side of the shape makes me question that hypothesis.