DISCOVER: Transformations of y = 1/x2 In Example 2 we saw that some simple rational functions can be graphed by shifting, stretching, or reflecting the graph of y = 1/x. In this exercise we consider rational functions that can be graphed by transforming the graph of y = 1/x2.
- (a) Graph the function
by transforming the graph of y = 1/x2.
- (b) Use long division and factoring to show that the function
can be written as
Then graph s by transforming the graph of v = 1/x2.
- (c) One of the following functions can be graphed by transforming the graph of y = 1/x2; the other cannot. Use transformations to graph the one that can be, and explain why this method doesn’t work for the other one.
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Precalculus: Mathematics for Calculus (Standalone Book)
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