Free Printable WorksheetMathAlgebra IMath CurriculumF-IF.7b

ALG1.106 Graph Absolute Value Functions and 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 ALG1.106 Graph Absolute Value Functions and Transformations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG1.106 Graph Absolute Value Functions and Transformations - Select the graph that represents absolute value functions and identify vertex, intercepts, and symmetry; Select the description that correctly explains translations, reflections, and dilations from the parent function y=|x|. (CCSS: F-IF.7b; TEKS: §111.39(c)(3)(C) (key features), (8) (district scope varies); VA SOL: A.F.2 (comparisons across parent functions); FL B.E.S.T.: MA.912.AR.4.3 (absolute value graphs), MA.912.F.1.1 (parent functions); NY-NGLS: AI-F.IF.7b; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; DoDEA CCRSM; NAEP: Algebra—graphs; NCTM P2A: Practices 2, 7.)

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 ALG1.106 Graph Absolute Value Functions and Transformations skill assessments:

Problem 1Difficulty: Mastery
Which option gives correct features of f(x)=(3/2)|x+4|-6?
AVertex (4,-6); axis x=4; x-intercepts (0,0) and (8,0); y-intercept (0,0)
BVertex (-4,6); axis x=-4; no x-intercepts; y-intercept (0,12)
CVertex (-6,-4); axis x=-6; x-intercepts (-8,0) and (0,0); y-intercept (0,-6)
DVertex (-4,-6); axis x=-4; x-intercepts (-8,0) and (0,0); y-intercept (0,0)
Solution & Explanation:The vertex is (-4,-6). For x-intercepts, solve (3/2)|x+4|-6=0, so |x+4|=4 and x=-8 or x=0. At x=0, y=0, so the y-intercept is also (0,0).
Problem 2Difficulty: Mastery
A stage-light brightness model is B(x)=-2|x-8|+14. Which statement correctly describes its graph?
AThe minimum brightness is 14 at x=8, and the graph opens upward.
BThe maximum brightness is 8 at x=14, and the x-intercepts are (-1,0) and (15,0).
CThe maximum brightness is 14 at x=8, and the x-intercepts are (1,0) and (15,0).
DThe graph has no x-intercepts because the coefficient is negative.
Solution & Explanation:The vertex is (8,14), and the negative coefficient makes it a maximum. Setting -2|x-8|+14=0 gives |x-8|=7, so x=1 or x=15.
Problem 3Difficulty: Mastery
In the family y=2|x-1|+k, k changes from -2 to 3. Which statement describes the effect?
AThe graph shifts right 5 units; the vertex moves from (1,-2) to (6,-2).
BThe graph shifts up 5 units; the vertex moves from (1,-2) to (1,3), and the axis stays x=1.
CThe graph becomes wider because k increases by 5.
DThe graph reflects over the x-axis because k changes sign.
Solution & Explanation:Changing k changes only the vertical position. Increasing k from -2 to 3 adds 5 to every y-value while leaving h=1 and the axis x=1 unchanged.

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Frequently Asked Questions

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QHow do I download and print this ALG1.106 Graph Absolute Value Functions and Transformations worksheet?

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QIs this ALG1.106 Graph Absolute Value Functions and Transformations worksheet free for teachers and homeschoolers?

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QCan students practice ALG1.106 Graph Absolute Value Functions and Transformations online with instant feedback?

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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.7b (Primary standard selected for prompt fields in this prompt cell: CCSS F-IF.7b. Skill statement in this prompt cell: Select the graph that represents absolute value functions and identify vertex, intercepts, and symmetry; Select the description that correctly explains translations, reflections, and dilations from the parent function y=|x|. Associated standards listed with this skill in the curriculum source: CCSS: F-IF.7b; TEKS: §111.39(c)(3)(C) (key features), (8) (district scope varies); VA SOL: A.F.2 (comparisons across parent functions); FL B.E.S.T.: MA.912.AR.4.3 (absolute value graphs), MA.912.F.1.1 (parent functions); NY-NGLS: AI-F.IF.7b; CA CCSSM: F-IF.7b; MA 2017: HS.F-IF.7b; 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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ALG1.106 Graph Absolute Value Functions and Transformations Worksheet (PDF & DOCX) | Algebra I Math | Free K12 Practice