Below is a portion of the graph of a function, y=h(x):

If the graph of y=h(x-3) is drawn on the same set of axes as the graph above, then the two graphs intersect at one point. What is the sum of the coordinates of that point?

If x is replaced with x-3 then all the points will be moved in the positive x directions 3 places.

So translate the graph 3 units to the right.