Free Printable WorksheetMathAlgebra IIMath CurriculumF-TF.5

ALG2.195 Graphing Sine and Cosine Functions Worksheet

Download our free printable Algebra II Math worksheet on ALG2.195 Graphing Sine and Cosine Functions. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.195 Graphing Sine and Cosine Functions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.195 Graphing Sine and Cosine Functions - Primary standard selected for prompt fields in this prompt cell: CCSS F-TF.5. Skill statement in this prompt cell: Select the graph that matches and analyze sine and cosine functions including amplitude, period, phase shift, and midline, and connect to transformations. Associated standards listed with this skill in this prompt cell: CCSS F-TF.5; F-BF.3; CA CCSSM F-TF.5; F-BF.3; MA 2017 F-TF.5; F-BF.3; NY NGLS F-TF.5; F-BF.3; 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 ALG2.195 Graphing Sine and Cosine Functions skill assessments:

Problem 1Difficulty: Mastery
Use the graph choices in the visual. Which graph matches y = -3sin(0.5(x - pi)) - 1?
AGraph A
BGraph B
CGraph C
DGraph D
Solution & Explanation:The graph has amplitude 3, midline y = -1, period 4pi, shifts right pi, and crosses the midline downward at x = pi. Graph D matches.
Problem 2Difficulty: Mastery
A graphing tool labels y = 4sin(2x - pi) + 1 as having phase shift right pi. What is the actual phase shift?
Aright pi
Bleft pi/2
Cright pi/2
Dleft pi
Solution & Explanation:Factor the inside: 2x - pi = 2(x - pi/2). The phase shift is right pi/2, not right pi.
Problem 3Difficulty: Mastery
What are the range and period of y = 7 - 4sin((2/3)x)?
Arange [3, 11], period 3pi
Brange [-4, 4], period 2pi/3
Crange [7, 11], period 3pi
Drange [3, 11], period 2pi/3
Solution & Explanation:The midline is 7 and amplitude is 4, so the range is 7 - 4 to 7 + 4, or [3, 11]. With B = 2/3, period = 2pi/(2/3) = 3pi.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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QIs this ALG2.195 Graphing Sine and Cosine Functions 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 II Math students. It aligns with educational standard F-TF.5 (Primary standard selected for prompt fields in this prompt cell: CCSS F-TF.5. Skill statement in this prompt cell: Select the graph that matches and analyze sine and cosine functions including amplitude, period, phase shift, and midline, and connect to transformations. Associated standards listed with this skill in this prompt cell: CCSS F-TF.5; F-BF.3; CA CCSSM F-TF.5; F-BF.3; MA 2017 F-TF.5; F-BF.3; NY NGLS F-TF.5; F-BF.3; TX TEKS Algebra II: §111.40. Use this prompt-provided wording as the supporting standard description for this workflow.).

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