Since this graph has a minimum at x = 0 and the graph of cos(x) has a maximum at 0 and that sec is the inverse of cos,
this is a sec graph.
Since the min of the top portion of this graph is at 3 and the max of the lower portion of this graph is at -3,
this is a y = 3sec graph.
Since the period of this graph is 4pi, this is a y = 3sec(½x).