The graph of y=sin(x-3x/2) is the graph of the y=sin(x) shifted in which direction?

a) 3x/2 units to the left

b)3x/2 units to the right

c)3x/2 units up

d)3x/2 units down

b. to the right.

Step-by-step explanation:

We are asked to find the translation applied on graph of to get

Let us recall the translation rules.

Upon looking at our given transformation we can see that graph of is shifted to right by units to get .

Therefore, option 'b' is the correct choice.