Consider three points (x1, y1), (x2, y2) and (x3, y3) in a 2D plane where x1,...

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Consider three points (x1, y1), (x2, y2) and (x3, y3) in a 2D plane where x1, x2 and x3 are distinct. Show that they lie on some curve with equation y = a +bx+cx^2 for some scalars a, b and c. Consider three points (x1, y1), (x2, y2) and (x3, y3) in a 2D plane where x1, x2 and x3 are distinct. Show that they lie on some curve with equation y = a +bx+cx^2 for some scalars a, b and c.

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