If the energy graphs of a reaction, catalyzed and uncatalyzed, are examined, the peak representing activation energy is for the catalyzed reaction.

            The peak representing activation energy is lower for the catalyzed reaction.

Explanation:
                   Below the attached figure shows the energy profile of a reaction carried out in the presence of catalyst and in the absence of catalyst. It is clearly shown that the reaction without catalyst (Blue) has a greater activation energy, while the reaction carried out in the presence of catalyst (Red) has a lower activation energy.
                   Catalyst decreases the activation energy by different ways including weakening of the bonds, holding the reactants close enough that they can react, by providing surface area for adsorption e.t.c