Question

What translations occur when moving from

f(x) to g(x)?
f(x) = sin(x)
g(x) = 4 sin (3x – pi) +5

Answer 1

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.