Can someone please help me explain in words how to what each piece of the equation modifies the whole thing in this:

f(x)=-3csc(2x)+1

2 answers

huh? I can't even make sens of your words. Hmmm. It appears you are looking for the transformations performed on g(x) = csc(x)

So, just as you have studied with polynomials,

csc(2x) compresses horizontally by a factor of 2

3csc(2x) stretches vertically by a factor of 3

-3csc(2x) reflects over the x-axis

-3csc(2x)+1 translates up by 1
Thank you! Sorry about my bad grammar, I forgot to proof read.