We start with f(x) = x.
If the graph of this function is shifted 1 unit to the right, then the new function will be g(x) = x - 1.
If the graph of this last new function is translated 2 units down, then its equation will be h(x) = x - 1 - 2, or h(x) = x - 3.
The desired quation is h(x) = x -3