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Algebra 2 · Chapter 4 · Lesson 4.8 · Printable PDF

Transforming the Reciprocal Graph Worksheet with Answer Key

6 problems on transforming the reciprocal graph: rewriting rules in the form a over x minus h plus k, finding asymptotes and the center, points with whole-number coordinates, a rule with a parameter, reading a moved graph, and an escalator word problem. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Transforming the reciprocal graph worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Write each rule in the form a over x minus h plus k and give both asymptotes.
    y = \dfrac{6x - 5}{x - 1}y = \dfrac{5 - 3x}{x + 2}y = \dfrac{6x + 1}{2x - 4}y = \dfrac{x}{x + 5}y = \dfrac{10 - 4x}{2x + 2}
  2. Show every graph point satisfies a product rule and find the points with whole-number coordinates.
  3. Rewrite the function, give asymptotes, center and corners, and find more features.
  4. Word problem: Zoe racing up a moving escalator.
  5. Rewrite a rule with a parameter c and decide which c gives a graph that is not a curve.
  6. Write the rule of the moved reciprocal graph in the figure.

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The free lesson teaches it with worked examples and practice problems.

Transforming the reciprocal graph: the lesson ›

More Chapter 4 worksheets: Rational expressions and rational functions