To sketch: The function by hand without plotting any points and then graph the function .
The standard graph of the function is roughly drawn and shown below in Figure 1.
Then, draw the graph of , by shrink the graph horizontally by a factor of 3. Thus, the graph of is shown below in Figure 2.
Observe that Figure 2 is compressed from Figure 1 by a factor of 3.
To draw the graph of , stretch the graph vertically by a factor of 2. Thus, the graph of is shown below in Figure 3.
Observe that Figure 3is obtainedfrom Figure 1 in such a way that it is shrunkhorizontally by a factor of 3 and then stretched vertically by a factor of 2.
Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!