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 , by shift the graph by 1 unit left. Thus, the graph of is shown below in Figure 2.
From Figure 2, it is observed that Figure 1 is shifted 1 unit to the left.
To draw the graph of , stretch the graph vertically by a factor of 2. Thus, the graph of is shown below in Figure 3.
Observe that Figure 3is obtainedfrom Figure 1 in such a way that it is shifted 1 unit to the left and then stretched vertically by a factor of 2.
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