To graph: the function using the graph of a standard function and then applying transformations.
the function is
Start with the standard function graph .
To plot the graph of ,use the plotting points method, substitute different value of on to determine corresponding value of .
The table is thus obtained as:
now plot each point of along the horizontal axis and the corresponding value of along vertical axis and connect each point to form a smooth curve.
The graph of is obtained as:
Now, the graph of is the graph of shifted unitright, then shrink the graph vertically by a factor of , then reflected the graph in the -axis , then shifted the graph unit upwards.
The graphof is obtained as:
From the above graph it can be obtained that the graph of is obtained by shifting the graph of
unitright, then shrinking the graph vertically by a factor of , then reflecting the graph in the -axis , then shifting the graph
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