Graph the function $LaTeX: \displaystyle f(x)=\begin{cases} x + 2,& x \leq -2\\ \frac{2 \left(x - 3\right)^{2}}{5} - 5,& -2 < x < 4\\ 10 - x,& x \geq 4 \\ \end{cases}$

The graph has three parts. It is a line on $LaTeX: \displaystyle (-\infty, -2]$ , a parabola on $LaTeX: \displaystyle (-2,4)$ , and a line on $LaTeX: \displaystyle [4, \infty)$ . Graphing each part gives: