### Home > CCA2 > Chapter 12 > Lesson 12.1.3 > Problem 12-55

12-55.

Quickly sketch each of the following functions. Homework Help ✎

*f*(*x*) = (*x*− 1)^{2}(*x*− 3)^{3}(*x*− 5)^{2}*g*(*x*) = −(*x*− 1)^{2}(*x*− 3)^{3}(*x*− 5)^{2}Express

*g*(*x*) in terms of*f*(*x*).

How is this different from the function in part (a)?

What transformation is created by a negative sign?

Look at your graphs from parts (a) and (b).

What do they tell you about the relationship between the two functions?

*g*(*x*) = −*f*(*x*)