By minimizing the function (x, y, u, ) = (x - u) 2 + (y - ) 2 subject to the constraints y = x

By minimizing the function ƒ(x, y, u, ν) = (x - u)² + (y - ν)² subject to the constraints y = x + 1 and u = ν², find the minimum distance in the xy-plane from the line y = x + 1 to the parabola y² = x.