Answer
See below:
Work Step by Step
Now, consider the given function $g\left( x \right)=-f\left( -x \right)-1$.
This function is of the form $g\left( x \right)=-f\left( -x \right)-c$.
Therefore, in order to draw the graph of the function $g\left( x \right)$, first reflect the graph of the function $f\left( x \right)$ about the $y\text{-}$ axis and then reflect it about the $x\text{-}$ axis.
Now, lower the new graph by $c\text{-}$ units.