If the parabola y = (K + 1) x2 + k2-9 has a downward opening and passes through the origin, then K=______ .

If the parabola y = (K + 1) x2 + k2-9 has a downward opening and passes through the origin, then K=______ .

Substituting the origin (0, 0) into y = (K + 1) x2 + k2-9, we get k2-9 = 0, and the solution k = ± 3 is k = - 3 because the opening is downward, that is, K + 1 < 0, K < - 1