To sketch: The rough graph of the function use transformations if needed.
The standard graph of the function is roughly sketched as shown below in Figure 1.
Reflect the graph about the y-axis and obtain the graph of . Thus, the graph of is drawn and shown below in Figure 2.
Then, to draw the graph of , reflect the graph about the x-axis. Thus, the graph of is shown below in Figure 3.
Then, draw the graph of , by shrunk the graph vertically by a factor of 0.5. Thus, the graph of is shown below in Figure 4.
Then, to obtain the graph of , shift the graph one unit upward. Thus, the graph of is shown below in Figure 5.
Thus, the required graph is obtained from the basic graph by performing some transformations.
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!