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: