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This lecture covers the construction of graphs for harmonic oscillations, including functions trigonometric, logarithmic, and exponential. It explains how to determine the domain of definition and graph of a function when multiplied by a constant or when the argument is manipulated. The lecture also explores the graphs of harmonic functions with different amplitudes and phases. Additionally, it demonstrates how to graphically represent functions with translations and amplifications. The instructor concludes by showing an example of graph transformation from a basic sine function to a more complex one.