If you are confident with transformation rules, you can graph many rational functions using transformations. If the rational function is not in a form that you recognize as a transformation of 1/x, you can try long division to get it into a form where you can see the transformations. Remember to move the asymptotes when you have vertical and horizontal shifts. It's always a good idea to substitute in an x value and find the corresponding y value to check your final graph.
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