Постройте график функции: y=x^2+4|x|+3.

Ответ:

\[y = x^{2} + 4|x| + 3\]

\[\left\{ \begin{matrix} x \geq 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ y = x^{2} + 4x + 3 \\ \end{matrix}\text{\ \ \ \ \ \ \ \ } \right.\ \text{\ \ \ \ }\]

\[\left\{ \begin{matrix} x \leq 0\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ y = x^{2} - 4x + 3 \\ \end{matrix} \right.\ \]