3.7 Transformations of Linear Functions Practice
Authored by Cyril Joseph
Mathematics
8th - 9th Grade
CCSS covered
Used 54+ times
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About
This quiz focuses on transformations of linear functions, covering the systematic study of how changes to function notation affect the graph of the parent function f(x) = x. The content is appropriate for grades 8-9, as it requires students to understand function notation, coordinate plane relationships, and abstract mathematical transformations. Students need mastery of several core concepts to succeed: recognizing how coefficients affect vertical stretches and compressions, understanding that additions and subtractions outside the function create vertical translations, knowing that operations inside the function parentheses create horizontal transformations, and identifying reflections through negative coefficients. The problems progress from visual graph interpretation to algebraic manipulation, requiring students to translate between multiple representations and apply transformation rules systematically to predict graphical changes. Created by Cyril Joseph, a Mathematics teacher in the US who teaches grades 8 and 9. This practice quiz serves as an excellent tool for reinforcing conceptual understanding after initial instruction on function transformations. Teachers can deploy this resource as a warm-up activity to activate prior knowledge, assign it for independent practice to build fluency with transformation vocabulary, or use it as formative assessment to identify students who need additional support with specific transformation types. The variety of question formats—from graph analysis to equation writing—makes this quiz valuable for homework assignments or review sessions before summative assessments. This content directly supports Common Core standards 8.F.A.3 and HSF-BF.B.3, which require students to interpret the parameters in linear functions and identify the effect of transformations on function graphs both algebraically and graphically.
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19 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
Tags
CCSS.HSF.BF.B.3
CCSS.HSG.CO.A.2
CCSS.HSG.CO.A.5
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
Tags
CCSS.HSF.BF.B.3
CCSS.HSG.CO.A.2
CCSS.HSG.CO.A.5
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which transformation will occur if f(x) = x is replaced with 2f(x)?
Vertical stretch by a factor of 2
Vertical compression by a factor of 1/2
Vertical translation up by 2 units.
Horizontal compression by a factor of 1/2
Tags
CCSS.HSF.BF.B.3
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which transformation will occur if f(x) = x is replaced with f(x) + 2?
Tags
CCSS.HSF.BF.B.3
CCSS.HSG.CO.A.2
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which transformation on
f(x) = x
is g(x) = -f(x)
Reflection across the y-axis
The slope will be less steep
The graph will be wider
Reflection across the x-axis.
Tags
CCSS.HSF.BF.B.3
CCSS.HSG.CO.A.4
CCSS.HSG.CO.B.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How did the equation shift from the parent function?
y = f(x) + c
Shifted up "c" units
Shifted down "c" units
Stretches vertically
Shifted right "c" units
Tags
CCSS.HSF.BF.B.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How did the equation shift from the parent function? y = f(x - 4)
Shift right by 4
Shift left by 4
Horizontal Stretch by 4
Vertical Stretch by 4
Shift down by 4
Tags
CCSS.HSF.BF.B.3
CCSS.HSG.CO.A.2
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