\[\left\{ \begin{matrix}
y = 4x² + 4x + 1\ \ \ \ \\
y = - 2x^{2} - 4x - 3 \\
\end{matrix} \right.\ \]
\[4x^{2} + 4x + 1 = - 2x^{2} - 4x - 3\]
\[6x² + 8x + 4 = 0\ \ \ |\ :2\]
\[3x^{2} + 4x + 2 = 0\]
\[D = 16 - 24 < 0\]
\[Ответ:точек\ пересечения\ нет.\]