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9 June, 14:25

If c is a positive integer, how does the graph of y=x+c compare to the graph of y=x?

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  1. 9 June, 16:18
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    It is shifted c units to the left.

    Step-by-step explanation:

    In general, adding a constant c to the value of x shifts a graph c units to the left.

    The graph of y = x + c is parallel to y = x, the y-intercept becomes (0, c) and the x-intercept becomes (-c, 0).

    In the diagram below, the red line is the graph of y = x, and the blue line is the graph of y = x + 1.
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