### Home > INT3 > Chapter 9 > Lesson 9.2.3 > Problem 9-124

*“Suppose I have ,”* says Ceirin,

*“what will its graph look like?”*

*“It will be horizontally compressed by a factor of ,”* replies Adel,

*“so the period must be* .”

*“Okay, now let’s say I want to shift it unit to the right. Do I just subtract from , like always?”*

*“I think so,”* says Adel, *“but let’s check on the graphing calculator.”* They proceeded to check on their calculators. After a few moments they both speak at the same time.

*“Rats,”* says Ceirin, *“it isn’t right.”*

*“Cool,”* says Adel, *“it works.”*

When they arrive at school the next morning, they compare the equations they had put into their graphing calculators while they talked on the phone. One has

, while the other had

*.*

Which equation is correct? Had they both subtracted ? Explain. Describe the rule for shifting a graph

If you want to subtract before multiplying, are parenthesis necessary?

The equation is correct. To shift the graph one unit to the right, subtract

*before multiplying by anything.*