1) Note that we can see the following function:
Note that we can see that this function f is vertically stretched, translated 1 unit to the side, and vertically shifted one unit
2) Now, let's visualize h(x):
Note that the difference between the graph of f and the graph of h(x) is h(x) is translated 5 units to the right.
So h(x) is horizontally translated 5 units to the right