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 compressing the graph horizontally by units. Thus, the graph of is shown below in Figure 2.
From Figure 2, it is observed that Figure 1 is shrunken horizontally by a factor of units.
Now, to draw the graph of , reflect the entire part of the graph that appears below the x-axis about the origin. 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 horizontally compressed by a factor of units and then reflected the portions appeared below the x-axis about the x-axis.
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