The function is .

The first term of zero will not shift the graph of vertically.

The factor of 2 will double the y - coordinates.To determine the horizontal shift and period, We check one cycle.

One cycle :  

                  .

A cycle will begin at , so the graph is units to the left.

To find the period, we compute the difference between end points for the cycle :

Period

          .

Dividing the period by 4 gives us , so we mark the x - axis at intervals of .

Beginning with as follows(we only need to find the three middle points).

A cycle will begin and end with x - intercepts at and (on the shifted axis).

There will be a vertical asymptote at .