Parent Functions and Transformations of Absolute Value Functions
Authored by Linda Miragliotta
Mathematics
11th Grade
CCSS covered
Used 6+ times
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14 questions
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1.
LABELING QUESTION
15 mins • 8 pts
Complete the chart by labeling the rules with the resulting transformations
shift down "k" units
vertical compression (wider)
shift up "k" units
shift right "k" units
reflect across the y-axis
shift left "h" units
shift down "h" units
vertical stretch (narrower)
reflect across the x-axis
shift right "h" units
2.
MATCH QUESTION
15 mins • 8 pts
Match the definitions and pictures with the vocabulary
Linear Functions
Absolute Value Functions
Function Family
a set of functions whose equations and graphs have a similar form and shape
Parent Function
Quadratic Functions
the simplest function of the family
3.
MATCH QUESTION
15 mins • 8 pts
Match the following parent functions with their graphs and equations.
Exponential
f(x) = x^2
Linear
f(x) = x^3
Quadratic
f(x) = b^x
Cubic
f(x) = |x|
Absolute Value
f(x) = x
4.
DROPDOWN QUESTION
15 mins • 6 pts
Describe how the following function compares to the parent function for f(x) = |x| - 3.
(a)
5.
DROPDOWN QUESTION
15 mins • 6 pts
Write the function to transform the parent function for f(x) = |x| when the graph is shifted left 7 units.
(a)
6.
MATCH QUESTION
15 mins • 8 pts
Match the following vocabulary and definitions.
Reflection
changes the position or size of a figure; can be applied to parent functions
Rotation
turns a function about a point
Translation
flips a function
Dilation
slides (or shifts) a function
Transformation
stretches or compresses a function
7.
MULTIPLE SELECT QUESTION
15 mins • 8 pts
Describe how the following function compares
to the parent function f(x) = |x|
f(x) = -|x − 4|
shifted right 4 units
reflected over x-axis
shifted left 4 units
shifted up 4 units
shifted down 4 units
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