Answer
$x-axis$, $4$ units, $5$ units.
Work Step by Step
For $f(x)=-(\frac{1}{3})^{x+4}-5$, to transform from $(\frac{1}{3})^x$, the first negative sign means a reflection across the $x-axis$, $(x+4)$ means a translation $4$ units to the left, and $-5$ means shift $5$ units down.
Thus the answers are: $x-axis$, $4$ units, and $5$ units.