\[y = - x^{2} + 1\]
\[\left\{ \begin{matrix} y = - x^{2} + 1 \\ y - x = 1\ \ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\left\{ \begin{matrix} y = - x^{2} + 1 \\ y = x + 1\ \ \ \ \\ \end{matrix} \right.\ \]
\[Ответ:( - 1;0);(0;1).\]