Solution for that one plz

9. Let flx, y) = x{x - 2y) for (x, y) € R*. Show that fhas a local minimum at (0, 0) on every straight through (0, 0) a critical point of f? Find the discriminant of f at (0, 0). Does f have a local minimum at (0, 0). Does fhave a local minimum at (0, 0)? Justify your answer?