Which way will the graph move?
The number inside the parentheses with the x tells us the horizontal shift; a -3 means the graph moves to the right 3.
The constant tells us the vertical movement of the graph; the +4 tells us that the graph moves up 4.
Your vertex is now at (3,4).
Not appicable to this case, but a coefficient multiplied by the (x-3) would tell us the vertical stretch of the graph.
Hope this helps!