Do we always get new functions from old ones?
Take a look at the graph below.
![Wave oscillating between y=5 and y=-5 with period 2 Pi. The first positive x-intercept is just before pi and the y-intercept is at 4.](/trigonometry-compound-angles/transformation-or-not/images/sincos.png)
How would we describe it?
Can we describe it using a function we know?
Do we always get new functions from old ones?
Take a look at the graph below.
How would we describe it?
Can we describe it using a function we know?