Ans: D
Consider the general case $y=f(x+h)+k$.
Consider the general case $y=f(x+h)+k$.
For $k$ is positive, $y=f(x)$ translates upwards $k$ units. For $k$ is negative, $y=f(x)$ translates downwards $-k$ units.
For $h$ is positive, $y=f(x)$ translates to the left $h$ units. For $h$ is negative, $y=f(x)$ translates to the right $-h$ units.
Hence, the translation from $y=f(x)$ to $y=f(x-2)-2$ is first to the right $2$ units and then downwards $2$ units.
Therefore, D is correct.
