To sketch: The function by hand without plotting any points and then graph of the function .
The standard graph of the function is roughly drawn as shown below in Figure 1.
Then, draw the graph of , shift the graph by units to the right. Thus, the graph of is shown below in Figure 2.
From Figure 2, it is observed that Figure 1 is shifted units to the right. Then, draw the graph of , shrunk the graph vertically by a factor of 4. Thus, the graph of is shown below in Figure 3.
Observe that Figure 3 is obtained from Figure 1 in such a way that it is shifted units to the right and then compressed vertically by a factor of 4.
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