Graphing Simple Rational Functions

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What is a rational function?

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What is a vertical asymptote?

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How do you find vertical asymptotes of a rational function?

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Vertical asymptotes occur at the values of x that make the denominator zero, provided that the numerator is not also zero at those points.

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What is a horizontal asymptote?

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How do you determine horizontal asymptotes for rational functions?

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What does the transformation 'translated right and down' mean?

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It means the graph of the function has been shifted to the right by a certain number of units and down by a certain number of units from its parent function.

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What is the parent function of a rational function?

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In this function, 'a' affects the vertical stretch or compression, 'h' shifts the graph horizontally, and 'k' shifts it vertically.

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What does it mean for a function to be 'translated left'?

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A translation to the left means that every point on the graph of the function is moved leftward by a specified number of units.

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