What translations occur when moving from

f (x) to g (x) ?

f (x) = sin (x)

g (x) = 4 sin (3x - pi) + 5

Step-by-step explanation:

The coefficient of the x is 3, so it is horizontally shrunk by factor of 3.

The coefficient of the sine is 4, so it is vertically stretched by factor of 4.

The constant inside the sine is - pi, so it is horizontally shifted pi units to the right.

The constant outside the sine is 5, so it is vertically shifted 5 units up.