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21 February, 19:55

How does a transformation affect the graph of f (x) if it is changed to:

a) f (x) + 2

b) f (x - 3)

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  1. 21 February, 23:18
    0
    If you add a value to the outcome of the function (as in case a), you will just shift the graph up along the y-axis. Makes sense, right, since you're adding an extra 2 to the value you will plot on the y axis.

    If you subtract (in this example) a value to the input of the function, you're actually "looking back" into the past of the graph (i. e., the left side). For example, for x=4 you're now plotting the value that used to be at x=1. So this shifts the graph to the right.

    That may be confusing at first. But I hope with a little thought experiment, you get it.
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