### Home > PC > Chapter 9 > Lesson 9.3.1 > Problem9-101

9-101.

The graph below is the result of a transformation of $y = \sin x$. Find a possible equation for the function.

The vertical shift is down $4$. There is no horizontal shift.

So a whole cycle (period) is $4π$. Calculate the frequency $b$: $bp = 2π$, so $4πb = 2πb =$ ?

Substitute pertinent information into: $y = A\sin\left(b\left(x\right)\right) ± C$