Problem

Source: Tuymaada 2020 Senior, P5 (Junior, P5)

Tags: conics, parabola, construction, geometry, algebra, analytic geometry, quadratics



Coordinate axes (without any marks, with the same scale) and the graph of a quadratic trinomial $y = x^2 + ax + b$ are drawn in the plane. The numbers $a$ and $b$ are not known. How to draw a unit segment using only ruler and compass?