I have a parabola, just need to find the function:

here are few points on the graph i traced

please, don't just give answer, I need to know how to do it. feels like i need the speed graph to figure out the parabola function but have no idea.

or you can give me the function and then tell me how you get it. much much appreciated. thanks in advance

x y

start with

( 0 0)

18 16 60 61 101 110 170 207 283 410 344 557 402 740