Free Printable WorksheetMathAlgebra IIMath CurriculumF-BF.3

ALG2.132 Rational Function Transformations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.132 Rational Function Transformations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.132 Rational Function Transformations - Primary standard selected for prompt fields in this prompt cell: CCSS F-BF.3. Skill statement in this prompt cell: Select the correct application of transformations to reciprocal functions and select the correct interpretation of changes to asymptotes and intercepts. Associated standards listed with this skill in this prompt cell: CCSS F-BF.3; F-IF.7d; CA CCSSM F-BF.3; F-IF.7d; MA 2017 F-BF.3; F-IF.7d; NY NGLS F-BF.3; F-IF.7d; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra II

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG2.132 Rational Function Transformations skill assessments:

Problem 1Difficulty: Mastery
Which statement is correct about transforming f(x) = 1/x to g(x) = -2/(x - 3) + 4?
AThe graph shifts right 3 and up 4, reflects over the x-axis, has x-intercept (7/2, 0), and y-intercept (0, 14/3)
BThe graph shifts left 3 and up 4, reflects over the x-axis, has x-intercept (-7/2, 0), and y-intercept (0, 14/3)
CThe graph shifts right 3 and down 4, has no reflection, and has no intercepts
DThe graph keeps both asymptotes from f(x) = 1/x but changes the intercepts
Solution & Explanation:The denominator x - 3 shifts right 3, +4 shifts up 4, and -2 reflects and stretches the graph. Solving for intercepts gives x = 7/2 and y = 14/3.
Problem 2Difficulty: Mastery
For y = a/(x + 1) + k, the y-intercept is (0, 6) and the x-intercept is (2, 0). What is k? Enter only the number.
Solution & Explanation:Using (0, 6) gives a + k = 6. Using (2, 0) gives a/3 + k = 0. Solving the system gives k = -3.
Problem 3Difficulty: Mastery
Which expression represents f(x) = 1/x shifted left 2 units, reflected over the x-axis, vertically stretched by 5, and shifted up 1 unit?
Ay = -5/(x + 2) + 1
By = 5/(x + 2) + 1
Cy = -5/(x - 2) + 1
Dy = -5/(x + 1) + 2
Solution & Explanation:Left 2 gives x + 2, the reflection and stretch give numerator -5, and shifting up 1 adds +1 outside.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard F-BF.3 (Primary standard selected for prompt fields in this prompt cell: CCSS F-BF.3. Skill statement in this prompt cell: Select the correct application of transformations to reciprocal functions and select the correct interpretation of changes to asymptotes and intercepts. Associated standards listed with this skill in this prompt cell: CCSS F-BF.3; F-IF.7d; CA CCSSM F-BF.3; F-IF.7d; MA 2017 F-BF.3; F-IF.7d; NY NGLS F-BF.3; F-IF.7d; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.).

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