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

Ceirin’s teacher has promised a quiz for the next day, so Ceirin calls Adel to review what they had done in class. *“Suppose I have y*= sin(2*x*)*,”*says Ceirin,*“what will its graph look like?”**“It will be horizontally compressed by a factor of 2,”*replies Adel,*“so the period must be π.”**“Okay, now let’s say I want to shift it 1 unit to the right. Do I just subtract 1 from x, 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

*y*= sin(2*x*– 1), while the other had*y*= sin2(*x*– 1).Which equation is correct? Had they both subtracted 1 from

*x*? Explain. Describe the rule for shifting a graph 1 unit to the right in a way that avoids this confusion. Homework Help ✎

If you want to subtract 1 from *x* before multiplying, are parenthesis necessary?

The equation *y* = sin2(*x* − 1) is correct. To shift the graph one unit to the right, subtract 1 from *x* before multiplying by anything.