If you start with f(x) = (x+2)2, that's a parabola w/ vertex at (-2, 0). If you move the graph 11 units to the right, the vertex will move to the point (9, 0). But that means the equation of the new graph is g(x) = (x-9)2. So the answer is actually 1.
Another way to get this is to replace the x in (x+2)2 with x-11... (x-11 + 2)2 --> (x-9)2. The reason it has to be x-11 instead of x+11 has to do with the fact that because you're shifting the graph to the right 11 units, all the x-values are getting 11 units larger for the same y-values. Thus, you have to minus 11 to get back the same x-values that corresponded with the y-values you started with. Hopefully that made a third of sense, it's kind of a retribution thing ("you've increased all my x-values, now I've gotta take them away so the y-values don't notice"). Who says math isn't full of drama?? ;)