( − ∞ , 5 ] \left(-\infty,5\right] ( − ∞ , 5 ]

[ 5 , − ∞ ) \left[5,-\infty\right) [ 5 , − ∞ )

Select all that apply. (May have more than one correct answer) f(x) = |x - 6| + 2

Horizontal translation right 6 units

Vertical translation up 2 units

Horizontal translation left 6 units

Vertical translation down 2 units

Select the correct set of transformations. f(x) = 1/3 |x + 4| - 2

Horizontal translation left 4 units Vertical shrink by a factor of 3 units Vertical translation down 2 units

Horizontal translation right 4 units Vertical shrink by a factor of 3 units Vertical translation down 2 units

Horizontal translation left 4 units Vertical shrink by a factor of 3 units Vertical translation up 2 units

Horizontal translation left 4 units Vertical stretch by a factor of 3 units Vertical translation down 2 units

Describe the transformation from the Absolute Value Parent Function.

Stretches more narrow, shifts right

Stretches more narrow, shifts left

Describe the transformations of the absolute value equation.

Flips to A shape, stretches more narrow, shifts up 1 unit

Flips to A shape, compresses wider, shifts right 1 unit

Flips to A shape, compresses wider, shifts up 1 unit

Flips to A shape, stretches more narrow, shifts right 1 unit

Describe the transformation from the Absolute Value Parent Function.

Compresses wider, shifts down 4 units

Stretches more narrow, shifts up 4 units

Stretches more narrow, shifts down 4 units

Compresses wider, shifts up 4 units

What is the range for this graph?

( − ∞ , 7 ] \left(-\infty,7\right] ( − ∞ , 7 ]

( − ∞ , 7 ) \left(-\infty,7\right) ( − ∞ , 7 )

( 7 , ∞ ) \left(7,\infty\right) ( 7 , ∞ )

[ 7 , ∞ ) \left[7,\infty\right) [ 7 , ∞ )

Absolute value functions and graphs

Authored by Monique Ferguson

Mathematics

10th Grade

CCSS covered

Used 125+ times

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31 questions

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MULTIPLE SELECT QUESTION

30 sec • 1 pt

Describe the transformation(s). Select all that apply.
$f\left(x\right)=\left|x\right|-3$

Up 3

Down 3

Right 3

Left 3

Reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Describe the transformation(s). Select all that apply.
$g\left(x\right)=-\left|x+9\right|$

Up 9

Right 9

Left 9

Down 9

Reflection over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.4

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Describe the transformation(s). Select all that apply.
$h\left(x\right)=4\left|x-1\right|$

Vertical Stretch (graph becomes steeper)

Right 1

Left 1

Down 1

Vertical Compression (graph becomes less steep)

Tags

CCSS.HSF.BF.B.3

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Describe the transformation(s). Select all that apply.
$p\left(x\right)=-\left|x+2\right|-7$

Reflection over the x-axis

Right 2

Left 2

Up 7

Down 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the location of the vertex.
$f\left(x\right)=-\left|x-3\right|+8$

(3, -8)

(-3, 8)

(3, 8)

(-3, -8)

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the location of the vertex.
$f\left(x\right)=\frac{1}{2}\left|x+1\right|-5$

(1, -5)

(-1, -5)

(-1, 5)

(1/2, -5/2)

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the location of the vertex.
$f\left(x\right)=\left|x-2\right|$

There is no vertex

(0, -2)

(-2, 0)

(2, 0)

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the location of the vertex.
$f\left(x\right)=\left|x\right|+1$

There is no vertex

(0, 1)

(1, 0)

(0, -1)

Tags

CCSS.HSF-IF.C.7D

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the location of the vertex.
$f\left(x\right)=\left|x\right|$

There is no vertex

(1, 1)

(0, 0)

(1, 0)

Tags

CCSS.HSF-IF.C.7D

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Absolute value functions and graphs

Describe the transformation(s). Select all that apply. f(x)=∣x∣−3f\left(x\right)=\left|x\right|-3f(x)=∣x∣−3

Describe the transformation(s). Select all that apply. g(x)=−∣x+9∣g\left(x\right)=-\left|x+9\right|g(x)=−∣x+9∣

Describe the transformation(s). Select all that apply. h(x)=4∣x−1∣h\left(x\right)=4\left|x-1\right|h(x)=4∣x−1∣

Describe the transformation(s). Select all that apply. p(x)=−∣x+2∣−7p\left(x\right)=-\left|x+2\right|-7p(x)=−∣x+2∣−7

Identify the location of the vertex. f\left(x\right)=-\left|x-3\right|+8f(x)=−∣x−3∣+8

Identify the location of the vertex. f\left(x\right)=\frac{1}{2}\left|x+1\right|-5f(x)=21​∣x+1∣−5

Identify the location of the vertex. f\left(x\right)=\left|x-2\right|f(x)=∣x−2∣

Identify the location of the vertex. f\left(x\right)=\left|x\right|+1f(x)=∣x∣+1

Identify the location of the vertex. f(x)=∣x∣f\left(x\right)=\left|x\right|f(x)=∣x∣

What is the vertex of the absolute value function?

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Describe the transformation(s). Select all that apply.
$f\left(x\right)=\left|x\right|-3$

Describe the transformation(s). Select all that apply.
$g\left(x\right)=-\left|x+9\right|$

Describe the transformation(s). Select all that apply.
$h\left(x\right)=4\left|x-1\right|$

Describe the transformation(s). Select all that apply.
$p\left(x\right)=-\left|x+2\right|-7$

Identify the location of the vertex.
$f\left(x\right)=-\left|x-3\right|+8$

Identify the location of the vertex.
$f\left(x\right)=\frac{1}{2}\left|x+1\right|-5$

Identify the location of the vertex.
$f\left(x\right)=\left|x-2\right|$

Identify the location of the vertex.
$f\left(x\right)=\left|x\right|+1$

Identify the location of the vertex.
$f\left(x\right)=\left|x\right|$