The vertex of the new function will be shifted up 2 units and to the right 3 units. Your 3 starting points will be (3,2) (1,6) and (5,6).
Tip: Vertex form uses the equation . The <em>h</em> represents how far the vertex is from 0 on the x-axis. Try to think of <em>h</em> as how the 0 will move relative to the vertex. If it's negative, the zero should be left of the vertex. If it's positive, it should be right of the vertex.