To sketch: The graph of the function by using transformation.
The standard graph of the function is roughly sketched as shown below in Figure 1.
Then, to draw the graph of , shrink the graph horizontally by a factor of 2. Thus, the graph of is 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.
Observe that Figure 3 is obtained from Figure 1 in such a way that it is compressed 2 units horizontally and then reflected about the x-axis.
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