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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.
As you can see, after the reaction occurs, the energy of the system is lower than it was before the reaction. This energy diagram shows an exothermic reaction, one in which energy is given off. In the energy diagram for an endothermic reaction, the energy of the products would be higher than that of the reactants.