Given the graph of 
, horizontally stretching the graph by a factor of 3 (i.e. reducing the period of the graph or increasing the number of turns in a given interval by a factor of 3) gives the graph 
.
Now, shifting the graph by
units to the right gives the graph of 
and vertically stretching the graph by a factor of 6 (i.e. increasing the height of each point on the graph by a factor of 6 relative to the original position) gives the graph of 
Finally, shifting the graph by 4 units up gives the graph of
Now, shifting the graph by
Finally, shifting the graph by 4 units up gives the graph of