In the expression f(x + c), what transformation does 'c' introduce to the graph of f(x)?

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In the expression f(x + c), the 'c' introduces a horizontal shift to the left in the graph of f(x). This occurs because the input to the function f is adjusted by adding 'c'. When you add a positive value to the x-coordinate, it effectively means that you are requiring a larger input value to achieve the same output, which moves the graph to the left by 'c' units.

For example, if you have the function f(x) and you want to find f(x + 2), you need to input a value that is 2 units less than before in order to get the same output as f(x). Therefore, the entire graph shifts left by 'c' units.

This is a fundamental principle in understanding function transformations and demonstrates how adjustments in the argument of the function affect the positioning of the graph in relation to the axes.

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