Step 1 :The function $f(x)=-3 x-2$ and $g(x)=3 x-2$ are linear functions.
Step 2 :The only difference between them is the sign of the coefficient of $x$.
Step 3 :This means that the graph of $f(x)$ is a reflection of the graph of $g(x)$ across the x-axis.
Step 4 :Therefore, the transformation that converts the graph of $f(x)$ into the graph of $g(x)$ is a reflection across the x-axis.
Step 5 :\(\boxed{\text{reflection across the x-axis}}\)