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This video tutorial discusses function transformations. Adding 2 to f(x) results in a vertical shift up by 2 units, while subtracting 3 from x causes a vertical shift down by 3 units. Shifting f(x) by subtracting 4 causes a horizontal shift to the right by 4 units. Adding 3 to x shifts the graph to the left by 3 units. A negative outside the function reflects over the x-axis.