trig functions

The plot does not exist at   x = 0     so we know it is a csc function  (csc = 1/sin    and sin = 0 at x= 0 ....not allowed)

  and its amplitude is multiplied ...   the distance between the ' points '  should be  2     and it is 8 so the fxn is mutiplied by

  4  

      4 csc x    

          it is also shifted UP 2

                    4 csc x + 2

 

 

Here is a comparison graph:

https://www.desmos.com/calculator/3qdn9jvfno