Graphing Absolute Value of Functions
Authored by Holly Gillespie
Mathematics
9th - 10th Grade
CCSS covered
Used 413+ times
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About
This quiz focuses on absolute value functions and their transformations, making it ideal for Algebra 1 or Algebra 2 students in grades 9-10. The questions comprehensively assess students' understanding of how absolute value functions behave when modified from the parent function f(x) = |x|. Students must master several interconnected concepts to succeed: identifying key features like vertex, domain, and range; understanding how coefficients and constants create horizontal shifts (inside the absolute value bars), vertical shifts (outside the function), reflections across the x-axis (negative coefficients), and vertical stretches or compressions. The quiz requires students to move fluidly between algebraic equations and their corresponding transformations, as well as interpret graphs to write equations. This level of function analysis demands strong algebraic reasoning and spatial visualization skills typical of high school mathematics. Created by Holly Gillespie, a Mathematics teacher in the US who teaches grades 9-10. This quiz serves as an excellent formative assessment tool to gauge student mastery before moving to more complex function families or can function as targeted practice for students struggling with transformation concepts. Teachers can deploy it as a warm-up activity to activate prior knowledge, assign it for homework to reinforce classroom instruction, or use it as a review before summative assessments. The variety of question types—from identifying transformations to matching graphs with equations—makes it versatile for differentiated instruction, allowing teachers to identify specific areas where students need additional support. This content directly aligns with Common Core standards A-CED.2 and F-BF.3, which focus on creating equations to describe relationships and identifying the effect of transformations on functions.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the vertex of the absolute value function?
Tags
CCSS.HSF-IF.C.7D
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the domain of the absolute value function?
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.B.5
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the equation of the absolute value function?
Tags
CCSS.HSF-IF.C.7D
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Describe the transformation from the Absolute Value Parent Function.
Tags
CCSS.HSG.CO.A.2
CCSS.HSG.CO.A.4
CCSS.HSG.CO.A.5
CCSS.HSG.CO.B.6
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What is the equation of the absolute value function?
Tags
CCSS.HSF-IF.C.7D
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Describe the transformations of the absolute value equation.
Tags
CCSS.HSF.BF.B.3
CCSS.HSF.IF.C.7
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Describe the transformation from the Absolute Value Parent Function.
Tags
CCSS.HSF.BF.B.3
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