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It is false that in an energy diagram for a chemical reaction, energy is plotted along the x-axis (the horizontal axis) and reaction progress is plotted along the y-axis (the vertical axis). The energy is actually plotted along the y-axis and the reaction along the x-axis.
The figure below shows the energy diagram for a reaction in the presence of a catalyst and in the absence of a catalyst. As you can see, the catalyst has decreased the activation energy of the reaction, which means that more molecules are able to surmount it and react.