Graph the function $LaTeX: \displaystyle f(x)=\begin{cases} - \frac{3 x}{5} - 4,& x \leq -3\\ \frac{4 \left(x - 1\right)^{2}}{5} - 9,& -3 < x < 5\\ 6 - \frac{x}{5},& x \geq 5 \\ \end{cases}$

The graph has three parts. It is a line on $LaTeX: \displaystyle (-\infty, -3]$ , a parabola on $LaTeX: \displaystyle (-3,5)$ , and a line on $LaTeX: \displaystyle [5, \infty)$ . Graphing each part gives: