Найдите область значения функции y=-x²-8x+1.

\[y = - x^{2} - 8x + 1\]

\[a < 0 - ветви\ вниз.\]

\[x_{0} = - \frac{b}{2a} = - \frac{8}{2} = - 4.\]

\[y_{0} = - ( - 4)^{2} - 8 \cdot ( - 4) + 1 =\]

\[= - 16 + 32 + 1 = 17\]

\[E(y) = y \in ( - \infty;17\rbrack.\]