\[y = - x^{2} + ax + 3;\ \ \ (2; - 5)\]
\[- 5 = - 2^{2} + 2a + 3\]
\[- 4 + 2a + 3 = - 5\]
\[2a = - 5 + 1\]
\[2a = - 4\]
\[a = - 2.\]
\[График\ функции:\ \ y = - x^{2} - 2x + 3.\]