  We consider minimal modifications to tribimaximal (TBM) mixing matrix which
accommodate non-zero mixing angle $\theta_{13}$ and CP violation. We derive
four possible forms for the minimal modifications to TBM mixing in a model with
$A_4$ flavor symmetry by incorporating symmetry breaking terms appropriately.
We show how possible values of the Dirac-type CP phase $\delta_D$ can be
predicted with regards to two neutrino mixing angles in the standard
parametrization of the neutrino mixing matrix. Carrying out numerical analysis
based on the recent updated experimental results for neutrino mixing angles, we
predict the values of the CP phase for all possible cases. We also confront our
predictions of the CP phase with the updated fit.
