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Shifts of Graphs

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    • English

    Concept:

    If f is a function and h is a constant, then the graph of y = f(x) + h is the graph of y = f(x) shifted
    1. upward h units if h > 0, or
    2. downward h units if h < 0.
    Similarly, if f is a function and k is a constant, then the graph of y = f(x - k) is the graph of y = f(x) shifted
    1. to the right k units if k > 0, or
    2. to the left k units if k < 0.