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

3x/2 units to the right, so b).

It's not c) or d), because the - 3x/2 is within the sin, rather than outside like y=sin (x) - 3x/2

If it were shifted to the left, the equation would be y=sin (x+3x/2)