Постройте график функции: y=x^2-2|x|-3.

Ответ:

\[y = x² - 2|x| - 3\]

\[y = \left\{ \begin{matrix} x² - 2x - 3\ \ \\ x² + 2x - 3\ \\ \end{matrix} \right.\ \]

\[x > 0:\]

\[y = x^{2} - 2x - 3;\ \ a > 0;\ \ \]

\[ветви\ вверх;\]

\[x_{0} = 1;\ \ \ \ \ \ y_{0} = - 4;\ \]

\[y(0) = - 3.\]

\[x < 0:\]

\[y = x^{2} - 2x - 3;\ \ a > 0;\ \ \]

\[ветви\ вверх;\]

\[x_{0} = - 1;\ \ \ \ y_{0} = - 4;\ \ \ \ \]

\[y(0) = - 3.\]