To sketch: The function by hand without plotting any points.
The standard graph of the function is roughly drawn and shown below in Figure 1.
Draw the graph of by shrinking the graph of horizontally by a factor of .
Use online graphing calculator to sketch the graph of as shown below in Figure 2.
From Figure 2, it is observed that Figure 1 is compressed horizontally by a factor of .
To draw the graph of , shift the graph by 1 unit upward.
Use online graphing calculator to sketch the graph of as shown below in Figure 3.
From Figure 3, it is observed that the graph of the function lies above the x-axis.
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