2. The projection of the point (2,3) onto the parabola 10y = (x-2)² in the Euclidean norm sense can be obtained by solving the following optimization problem: min_f(x, y) = (x − 2)² + (y − 3)² s.t. (x-2)² = 10y. (a). Find all the KKT points for this problems. (b). Which of these KKT points are optimal solution?

Fig: 1