Question

The graph of f(x) = sin(x) is stretched until it has a period of 4π. This new graph is described by which of the following functions?

A. f(x) = sin(1/4x)
B. f(x) = sin(1/2x)
C. f(x) = sin(2x)
D. f(x) = sin(4x)

Answer 1

First, you need to remember the rules of transformations.

Now, you calculate the stretch factor, based on the period’s growth. (4pi/x=y where x = unstretched period of sin(x), and y = stretch factor.)

The image explains where to go from there.

Answer 2

f(x) = sin(1/2x)