A transformation simply refers to moving the graph of a function around:

- If you want to move the line graph of
*y*= 2*x*+ 1 to the left or right, you increase or decrease the input. - If you want to move the line graph of
*y*= 2*x*+ 1 up or down, you increase or decrease the output.

Normally, the input of 2 for *y* = 2*x* + 1 will have the output of 5 and my *xy*‐coordinate is (2, 5). However, if I decrease the input by 1, *y* = 2(*x* – 1) + 1, then my output will be 3 and my *xy*‐coordinate is (2, 3). The resulting line graph will move to the right by one interval.

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