That is a parabola. The vertex is at (4,1) as seen in the graph. The axis of symmetry for a vertical parabola is x=h which is the x value of the vertex, so the symmetry axis here is x=4. The range is as the name suggests, the range that the y values take. From the graph it looks like the y values start at 1 and go up until infinity in the positive axis. So the range is [1,+ ∞[ or [1,+ ∞) depending on how you take intervals.