Given the graph of $h(x)$ at right, sketch:

1. $−h(x)$

   Hint (a):

   vertical flip over $x$-axis

2. $h(x) -5$

   Hint (b):

   vertical shift, $5$ units down

3. $h^{−1} (x)$

   Hint (c):

   inverse function, $x$- and $x$-values switch. Start with the known point.