Free Printable WorksheetMathPre-CalculusMath CurriculumHSF-LE.1-5

Pre CAL.61 Transformations of Exponential and Logarithmic Functions Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Pre-Calculus Math worksheet provides structured practice on Pre CAL.61 Transformations of Exponential and Logarithmic Functions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Pre-CAL.61 Transformations of Exponential and Logarithmic Functions - Primary standard selected for prompt fields in this prompt cell: CCSS HSF-LE.1-5. Skill statement in this prompt cell: Given a transformed exponential or logarithmic function, identify the transformation(s) and select the correct graph or equation that matches. Associated standards listed with this skill in this prompt cell: CCSS HSF-LE.1-5; CCSS HSF-BF.3-5(+); CCSS HSA-REI.11; SMP 1,2,4,5,7; AP Precalculus CED Unit 2; TX §111.42(c)(5)(J-M); FL MA.912.AR.5; VA MA.FR.2. 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

Pre-Calculus

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 Pre CAL.61 Transformations of Exponential and Logarithmic Functions skill assessments:

Problem 1Difficulty: Mastery
Start with f(x)=log_2(x). Apply these transformations: reflect across the y-axis, shift right 5 units, reflect across the x-axis, and shift down 2 units. Which equation is the result?
Ag(x)=-log_2(5-x)-2
Bg(x)=log_2(x-5)-2
Cg(x)=-log_2(x+5)-2
Dg(x)=log_2(5-x)+2
Solution & Explanation:Reflecting across the y-axis around the right-shifted boundary gives log_2(5-x). The negative outside reflects across the x-axis, and -2 shifts down.
Problem 2Difficulty: Mastery
The graphs of g(x)=2^(x+1)-4 and h(x)=2x-4 share the same horizontal asymptote but have different y-intercepts.
ATrue
BFalse
Solution & Explanation:Both functions are shifted down 4, so both have horizontal asymptote y=-4. But g(0)=21-4=-2 while h(0)=1-4=-3.
Problem 3Difficulty: Mastery
A logarithmic graph has vertical asymptote x=-3, is shifted up 6 units, and is horizontally compressed by factor 1/2 from f(x)=log_7(x). Which equation matches?
Ag(x)=log_7(2(x+3))+6
Bg(x)=log_7((x+3)/2)+6
Cg(x)=2log_7(x+3)+6
Dg(x)=log_7(2(x-3))+6
Solution & Explanation:The x+3 places the vertical asymptote at x=-3. A horizontal compression by factor 1/2 uses 2 times the shifted input, and +6 shifts up.

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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 Pre-Calculus Math students. It aligns with educational standard HSF-LE.1-5 (Primary standard selected for prompt fields in this prompt cell: CCSS HSF-LE.1-5. Skill statement in this prompt cell: Given a transformed exponential or logarithmic function, identify the transformation(s) and select the correct graph or equation that matches. Associated standards listed with this skill in this prompt cell: CCSS HSF-LE.1-5; CCSS HSF-BF.3-5(+); CCSS HSA-REI.11; SMP 1,2,4,5,7; AP Precalculus CED Unit 2; TX §111.42(c)(5)(J-M); FL MA.912.AR.5; VA MA.FR.2. Use this prompt-provided wording as the supporting standard description for this workflow.).

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