Move X on [-2,2]. This will move Y and P. These points are fixed with formulas. E.g., Y is on "(x(X),x(X)^2)". "x(X)" computes the x-coordinates of X. P is fixed on "(x(X)+1,y(Y)+2*x(X))". This works, since 2x is the derivative of x^2.

What do you see in the points, where Y has minimal distance from P?

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