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  5. Parent Functions And Transformations Of Absolute Value Functions

Parent Functions and Transformations of Absolute Value Functions

Authored by Linda Miragliotta

Mathematics

11th Grade

CCSS covered

Used 5+ times

Parent Functions and Transformations of Absolute Value Functions
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14 questions

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1.

LABELLING QUESTION

15 mins • 8 pts

Complete the chart by labeling the rules with the resulting transformations

a
b
c
h
g
e
f

reflect across the x-axis

reflect across the y-axis

shift right "h" units

shift left "h" units

shift right "k" units

shift down "k" units

vertical compression (wider)

shift up "k" units

vertical stretch (narrower)

shift down "h" units

2.

MATCH QUESTION

15 mins • 8 pts

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Match the definitions and pictures with the vocabulary

Linear Functions

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Quadratic Functions

a set of functions whose equations and graphs have a similar form and shape

Function Family

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Parent Function

the simplest function of the family

Absolute Value Functions

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3.

MATCH QUESTION

15 mins • 8 pts

Media Image

Match the following parent functions with their graphs and equations.

Cubic

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Quadratic

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Exponential

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Absolute Value

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Linear

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4.

DROPDOWN QUESTION

15 mins • 6 pts

Describe how the following function compares to the parent function for f(x) = |x| - 3.

​ (a)  

shift down 3 units
shift up 3 units
shift left 3 units
shift right 3 unitis
flip over the x-axis
flip over the y-axis
vertical stretch by a factor of 3
vertical compression by a factor of ⅓

5.

DROPDOWN QUESTION

15 mins • 6 pts

Media Image

Write the function to transform the parent function for f(x) = |x| when the graph is shifted left 7 units.

​ (a)  

f(x) = |x + 7|
f(x) = |x − 7|
f(x) = 7|x|
f(x) = -7|x|
f(x) = |x| + 7
f(x) = |x| − 7

6.

MATCH QUESTION

15 mins • 8 pts

Media Image

Match the following vocabulary and definitions.

Transformation

changes the position or size of a figure; can be applied to parent functions

Reflection

slides (or shifts) a function

Dilation

flips a function

Rotation

turns a function about a point

Translation

stretches or compresses a function

7.

MULTIPLE SELECT QUESTION

15 mins • 8 pts

Media Image

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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