Calculating the equation of a parabola by its coordinates

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There is some math problems that I can't sort out.

The task is that I have N numbers of coordinates (x;y) given that they fit on a parabola and with them, I have to calculate the (ax^2+bx-c) equation of the parabola.

I could only make it with 3 coordinates but can't get any further.

I have these equations for 3 coordinates:

I made a screenshot from MS Excel so it's more understandable

Any tips or ideas?