\[\boxed{\mathbf{973\ (973).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ y = x² - 6x + m,\ \ y_{0} = - 8,\]
\[\ \ так\ как\ ветви\ вверх\]
\[x_{0} = \frac{6}{2} = 3\]
\[y = 9 - 18 + m = m - 9,\]
\[\ \ m - 9 = - 8,\ \ m = 1\]
\[Ответ:m = 1.\]
\[2)\ y = - x^{2} + 4x - m,\ \ \]
\[y_{0} = 12,\ \ так\ как\ ветви\]
\[\ вверх\]
\[x_{0} = \frac{- 4}{- 2} = 2\]
\[y = - 4 + 8 - m = 4 - m,\]
\[\ \ 4 - m = 12,\ \ m = - 8\]
\[Ответ:\ m = - 8.\]