A transformation simply refers to moving the graph of a function around:
If you want to move the line graph of y = 2x + 1 to the left or right, you increase or decrease the input.
If you want to move the line graph of y = 2x + 1 up or down, you increase or decrease the output.
Normally, the input of 2 for y = 2x + 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.
Shelby Joe 周 is the Founder of Piqosity. He has more than 20 years of experience in education as an entrepreneur, professor, and tutor. Shelby earned his BA in Political Science from Rice University. Born and raised in Mississippi, he now resides in Houston but has also lived in Beijing, Shanghai, and Hamburg.