Transformation of Functions
Authored by Kara Burns
Mathematics
11th - 12th Grade
CCSS covered
Used 1K+ times
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About
This quiz focuses on the transformation of functions, a critical topic in Algebra 2 and Pre-Calculus that bridges algebraic manipulation with visual graph analysis. Designed for grades 11-12, the questions systematically assess students' understanding of how algebraic changes to function notation translate to geometric changes on the coordinate plane. Students must master the conceptual relationships between horizontal and vertical shifts, reflections across both axes, and vertical stretches or compressions. The problems require students to interpret function notation such as f(x-h)+k, af(bx), and -f(x), then connect these algebraic forms to their corresponding graphical transformations. Students need a solid foundation in parent functions including quadratic, square root, cubic, and absolute value functions, along with the ability to distinguish between transformations that occur inside versus outside the function notation. Created by Kara Burns, a Mathematics teacher in US who teaches grade 11-12. This comprehensive assessment serves multiple instructional purposes throughout a unit on function transformations, whether used as guided practice during initial instruction, formative assessment to gauge student understanding, or review material before summative evaluations. The quiz effectively supports homework assignments where students can work independently to reinforce classroom learning, and functions excellently as a warm-up activity to activate prior knowledge before advancing to more complex transformation combinations. Teachers can use individual questions for targeted mini-lessons or deploy the entire quiz for comprehensive review sessions. The content directly aligns with Common Core standards A-BF.B.3, which requires students to identify the effect of transformations on graphs of functions, and F-BF.B.3, focusing on transformations of function graphs including shifts, reflections, and stretches.
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16 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What are the transformations of this functions compared to the parent function y = √(x)?
Tags
CCSS.HSF.BF.B.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What are the transformations to the graph compared to the parent function y=√(x)?
Tags
CCSS.HSF.BF.B.3
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Describe the transformation of y = f(x) for the new function
y = f(x) - 5
Tags
CCSS.HSF.BF.B.3
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which equation describes the transformation of shifting f(x)=x2 two units right?
Tags
CCSS.HSF.BF.B.3
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What are the transformations?
y=3(x-4)2?
Tags
CCSS.HSF.BF.B.3
CCSS.HSG.CO.A.2
CCSS.HSG.CO.A.5
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Describe the transformation of y = f(x) for the new function
f(x) = ⅔(x - 7)2
Right 7
Left 7
Right 7
Left 7
Tags
CCSS.HSF.BF.B.3
CCSS.HSF.IF.C.7
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Describe the transformation of y = f(x) for the new function
f(x) = 5x2 + 2
Up 2
Up 2
Down 2
Down 2
Tags
CCSS.HSF.BF.B.3
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