Absolute Value Functions
Authored by Natasha MacFarlane
Mathematics
8th - 9th Grade
CCSS covered
Used 296+ times
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About
This quiz focuses on absolute value functions, specifically emphasizing transformations of the parent function f(x) = |x|. The content is appropriate for grades 8-9, covering algebraic concepts that bridge pre-algebra and Algebra I. Students need a solid understanding of function notation, coordinate plane graphing, and transformation vocabulary to succeed with these problems. The questions assess multiple interconnected skills: identifying how parameters in the equation f(x) = a|x - h| + k affect the graph's shape and position, determining vertices from both equations and graphs, finding domain and range of transformed functions, and translating between algebraic and graphical representations. Students must understand that the value of 'a' controls vertical stretch/compression and reflection, 'h' represents horizontal shifts (with sign changes), and 'k' represents vertical shifts. The quiz requires students to visualize these transformations mentally and apply the systematic rules governing absolute value function behavior. Created by Natasha MacFarlane, a Mathematics teacher in the US who teaches grades 8 and 9. This quiz serves as an excellent formative assessment tool for measuring student comprehension of absolute value function transformations before moving to more complex piecewise or quadratic functions. Teachers can use this as a warm-up activity to activate prior knowledge, assign it as independent practice to reinforce classroom instruction, or deploy it as homework to extend learning beyond the classroom. The variety of question formats—from equation identification to transformation descriptions—makes it valuable for review sessions where students need multiple approaches to master the same concept. The quiz aligns with Common Core standards 8.F.A.3 for interpreting functions through different representations and HSF-BF.B.3 for identifying transformations of functions, providing targeted practice that supports both middle school function foundations and high school function transformation requirements.
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25 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which equation represents an absolute value function that has been translated 4 units down and 3 units right?
y = |x + 4| - 3
y = |x - 3| - 4
y = |x + 3| - 4
y = |x - 4| + 3
Tags
CCSS.HSF.BF.B.3
CCSS.HSF.IF.C.7
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Describe the transformations of the absolute value equation.
Tags
CCSS.HSF.BF.B.3
CCSS.HSG.CO.A.2
3.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
Describe the transformation from the Absolute Value Parent Function.
Tags
CCSS.HSF.BF.B.3
CCSS.HSG.CO.A.2
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the domain of the absolute value function?
-6 ≤ x ≤ 6
(0, 4)
All real numbers
x ≥ 4
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.B.5
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the range of the absolute value function?
All real numbers
y ≥ 3
y ≥ 3
y ≤ 3
Tags
CCSS.8.F.A.1
CCSS.HSF.IF.B.5
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the vertex of the absolute value function?
(4, 0)
(0, 4)
(-6, 0)
(6, 0)
Tags
CCSS.HSF-IF.C.7D
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Describe the transformation from the Absolute Value Parent Function.
Tags
CCSS.HSF.BF.B.3
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