Answer:
1/2 sin(x-20)
Step-by-step explanation:
There are two transformations that are done.
First, everything is shifted to the right by 20. For a function f(x), f(x+C) moves it to the left by C. We want to move it to the right, so C should be negative, and we want to do it by 20, so C should be -20, so f(x-20) for f(x) = sin(x) equals sin(x-20)
Next, the graph is compressed vertically. For Cf(x) (f(x) now being sin(x-20) because we've already shifted it), the graph is stretched by a factor of C. We want to stretch it by a factor of 1/2, or compress it by a factor of 2, so we have Cf(x) = 1/2 f(x) = 1/2 sin(x-20) as our answer
