Quiz about Absolute value functions and graphs

Question 1

What is the vertex of the absolute value function?

Accepted Answer

(0, 4)

Answer

(4, 0)

Answer

(-infinity, infinity)

Answer

[4, infinity)

Question 2

What is the domain of the absolute value function?

Accepted Answer

(-infinity, infinity)

Answer

(4, 0)

Answer

(0, 4)

Answer

[4, infinity)

Question 3

Select all that apply. (May have more than one answer)

Which letter(s) does the function have?

f(x) = 4|x-2|+1

Accepted Answer

H

Accepted Answer

A

Accepted Answer

K

Answer

None

Question 4

What is the value of K?

f(x) = 4|x +2| - 3

Accepted Answer

-3

Answer

4

Answer

2

Answer

0

Question 5

What is the value of A?

f(x) = -2|x - 4| + 3

Accepted Answer

-2

Answer

-4

Answer

2

Answer

3

Question 6

Select all that apply. (May have more than one correct answer)

f(x) = |x - 6| + 2

Accepted Answer

Horizontal translation right 6 units

Accepted Answer

Vertical translation up 2 units

Answer

Horizontal translation left 6 units

Answer

Vertical translation down 2 units

Question 7

Select the correct set of transformations.

f(x) = 1/3 |x + 4| - 2

Accepted Answer

Horizontal translation left 4 units

Vertical shrink by a factor of 3 units

Vertical translation down 2 units

Answer

Horizontal translation right 4 units

Vertical shrink by a factor of 3 units

Vertical translation down 2 units

Answer

Horizontal translation left 4 units

Vertical shrink by a factor of 3 units

Vertical translation up 2 units

Answer

Horizontal translation left 4 units

Vertical stretch by a factor of 3 units

Vertical translation down 2 units

Question 8

What is the equation of the graph below? You can click the picture to zoom in!

Accepted Answer

f(x) = I x - 2 I

Answer

f(x) = I x + 2 I

Answer

f(x) = I x  I + 2

Answer

f(x) = I x  I - 2

Question 9

What is the equation of the graph below? You can click the picture to zoom in!

Accepted Answer

y = - | x - 2| + 4

Answer

y = - | x + 2| + 4

Answer

y = | x - 2 | + 4

Answer

y = | x - 2| - 4

Question 10

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 4|x + 3| - 2

Accepted Answer

Narrower

Answer

Wider

Answer

Same

Question 11

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = -|x| + 9

Accepted Answer

Same

Answer

Narrower

Answer

Wider

Question 12

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y = 5/2 |x - 1|+ 2

Accepted Answer

Narrower

Answer

Wider

Answer

Same

Question 13

Use Narrower, Wider, or Same to compare the width of this graph to its parent function.

y= 1/3 |x| + 3

Accepted Answer

Wider

Answer

Narrower

Answer

Same

Question 14

Describe the transformation from the Absolute Value Parent Function.

Accepted Answer

Shift up 4 units

Answer

Shift down 4 units

Answer

Shift left 4 units

Answer

Shift right 4 units

Question 15

Describe the transformation from the Absolute Value Parent Function.

Accepted Answer

Stretches more narrow, shifts right

Answer

Stretches wider, shifts right

Answer

Stretches more narrow, shifts left

Answer

Stretches wider, shifts left

Question 16

Describe the transformations of the absolute value equation.

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 17

Describe the transformation from the Absolute Value Parent Function.

Accepted Answer

Compresses wider, shifts down 4 units

Answer

Stretches more narrow, shifts up 4 units

Answer

Stretches more narrow, shifts down 4 units

Answer

Compresses wider, shifts up 4 units

Question 18

Over what interval is the function decreasing?

Accepted Answer

(-3, inf)

Answer

(inf, -3)

Answer

-inf, -3)

Question 19

The vertex is a ___________for this graph.

Accepted Answer

maximum

Answer

minimum

Absolute value functions and graphs

31 questions

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.
$f\left(x\right)=\left|x\right|$

What is the vertex of the absolute value function?

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Absolute value functions and graphs

31 questions

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.
$f\left(x\right)=\left|x\right|$