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Answer :

You have that the red curve is:

f(x) = x²

you can notice that the blue curve is a translation of the red curve. The vertex of f(x) is (0,0). The vertex of the blue curve is (2,1).

Take into account that the general expression for a parabola is:

g(x) = (x - h)² + k

where (h,k) is the vertex. By replacing h=2 and k=1, the values of the coordinates of the blue curve, you have: