Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.2 Exponential Functions - 4.2 Exercises - Page 431: 6

$x-axis$, $4$ units, $5$ units.

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.