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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.
A picture of the energy of reactants on their way to form products is an energy diagram. The energy requirement is called the activation energy. The activation energy is always positive. for the path may be high and then the reaction will be slow. A common analogy is pushing a boulder over a hill.