Free Printable WorksheetMathAlgebra IMath CurriculumF-IF.7a

ALG1.49 Linear Function Transformations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra I Math worksheet provides structured practice on ALG1.49 Linear Function Transformations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.49 Linear Function Transformations - Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7a. Skill statement in this prompt cell: Select the description that correctly explains effects of vertical and horizontal shifts and reflections on linear graphs; Match changes in an equation to changes in the graph. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.7a; F-BF.3; TEKS: §111.39(c)(3)(C); VA SOL: A.F.1 b, f; FL B.E.S.T.: MA.912.AR.2.4; NY-NGLS: AI-F.IF.7a; CA CCSSM: F-IF.7a, F-BF.3; MA 2017: HS.F-IF.7a; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7. 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 I

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 ALG1.49 Linear Function Transformations skill assessments:

Problem 1Difficulty: Mastery
A coordinate rule maps each point (x, y) on f to (x + 2, -y + 3) on g. Which equation form represents g?
Ag(x) = -f(x + 2) + 3
Bg(x) = f(x - 2) - 3
Cg(x) = f(-x + 2) + 3
Dg(x) = -f(x - 2) + 3
Solution & Explanation:The x + 2 in the point rule means the graph shifts right 2, so use f(x - 2). The y rule -y + 3 means reflect across the x-axis and shift up 3.
Problem 2Difficulty: Mastery
A point (a, b) on f maps to (a - 5, -b - 2) on g. Which equation form matches this coordinate rule?
Ag(x) = f(-x + 5) - 2
Bg(x) = f(x + 5) + 2
Cg(x) = -f(x + 5) - 2
Dg(x) = -f(x - 5) - 2
Solution & Explanation:The x-coordinate decreases by 5, so use f(x + 5). The y-value changes to -b and then down 2, so g(x) = -f(x + 5) - 2.
Problem 3Difficulty: Mastery
For every linear function f, the graphs of f(x - 2) and f(x) + 2 are always the same.
ATrue
BFalse
Solution & Explanation:For f(x) = mx + b, f(x - 2) = mx + b - 2m. This equals f(x) + 2 only for certain slopes, not for every linear function.

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Frequently Asked Questions

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QIs this ALG1.49 Linear Function Transformations worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra I Math students. It aligns with educational standard F-IF.7a (Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7a. Skill statement in this prompt cell: Select the description that correctly explains effects of vertical and horizontal shifts and reflections on linear graphs; Match changes in an equation to changes in the graph. Associated standards listed with this skill in this prompt cell: CCSS: F-IF.7a; F-BF.3; TEKS: §111.39(c)(3)(C); VA SOL: A.F.1 b, f; FL B.E.S.T.: MA.912.AR.2.4; NY-NGLS: AI-F.IF.7a; CA CCSSM: F-IF.7a, F-BF.3; MA 2017: HS.F-IF.7a; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7. Use this prompt-provided wording as the supporting standard description for this workflow.).

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