  This work dynamically classifies a 9-parametric family of birational maps f :
C2 -> C2. From the sequence of the degrees dn of the iterates of f, we find the
dynamical degree delta(f) of f. We identify when dn grows periodically,
linearly, quadratically or exponentially. The considered family includes the
birational maps studied by Bedford and Kim in [4] as one of its subfamilies.
