Transformations of Exponential Functions
Mathematics
11th Grade
CCSS covered
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Looking at this comprehensive quiz, I can see it focuses squarely on transformations of exponential functions, which is a cornerstone topic in Algebra 2 or Pre-Calculus, typically taught at the 11th-grade level. The questions systematically assess students' understanding of how modifications to the parent function f(x) = b^x affect the graph's position and orientation. Students must master the fundamental transformation rules: adding or subtracting constants outside the function creates vertical translations, adding or subtracting within the exponent produces horizontal translations, and multiplying by -1 creates reflections across the x-axis or y-axis. The quiz requires students to analyze function notation, identify multiple simultaneous transformations, distinguish between exponential growth and decay, and write new functions based on described transformations. This level of symbolic manipulation and conceptual understanding of function behavior demonstrates the sophisticated algebraic reasoning expected of advanced high school students. This quiz was created by a classroom teacher who designed it for students studying transformations of exponential functions in grade 11. The assessment serves multiple instructional purposes and works effectively as a formative assessment tool to gauge student understanding before moving to more complex exponential applications, or as targeted practice following initial instruction on function transformations. Teachers can deploy this quiz as a warm-up activity to activate prior knowledge, assign it as homework to reinforce classroom learning, or use it as a review session before summative assessments. The varied question formats—from basic single transformations to complex combinations involving reflections, translations, and function writing—allow educators to identify specific areas where students need additional support. This quiz directly supports Common Core standards HSF-BF.B.3 (identifying the effect of transformations on graphs) and HSF-IF.C.7e (graphing exponential functions and showing key features), providing essential practice in the mathematical practices of modeling and using appropriate tools strategically.
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22 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Compare f(x) = 3x- 4 with the basic function g(x) = 3x
Tags
CCSS.HSF.BF.B.3
CCSS.HSF.IF.C.7
CCSS.HSF.IF.C.9
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What transformations have happened to f(x) = 2x if the new equation is
g(x) = -2(x+3) -6
Tags
CCSS.HSF.BF.B.3
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Describe the transformation(s) of the function when compared to its parent function.
Translation left 3 units
Translation down 3 units
Horizontal stretch by a factor of -1
Reflected across x-axis
Tags
CCSS.HSF.BF.B.3
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Describe the transformation(s) of the function when compared to its parent function.
Translation up 2 units and translation right 1 unit
Translation down 2 units and Translation left 1 unit
Translation left 2 units and Translation up 1 unit
Translation right 2 units and Translation down 1 unit
Tags
CCSS.HSF.BF.B.3
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
What transformations have happened to f(x) = 2x if the new equation is
g(x) = -2(x+3) -6
reflects across the x-axis, translate right 3 units, translate up 6 units
reflects across the x-axis, translate up 3 units, translate left 6 units
reflects across the x-axis, translate right 3 units, translate down 6 units
reflects across the x-axis, translate left 3 units, translate down 6 units
Tags
CCSS.HSF.BF.B.3
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Given g(x)=(1/2)x
Write a function that is translated 5 units left and translated 4 units up.
f(x)= (1/2)x+5 + 4
f(x)= (1/2)x+4 + 5
f(x)= (1/2)x-5 - 4
f(x)= (1/2)x+5 - 4
Tags
CCSS.HSF.BF.B.3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What equation would yield a transformation right 3 units if your initial function was y=2x
Tags
CCSS.HSF.BF.B.3
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