Quiz about Transformation of Absolute Value Functions

Question 1

What is the equation of the absolute value function?

Accepted Answer

f(x)= |x| + 4

Answer

f(x)= |x+4|

Answer

f(x)= |x-4|

Answer

f(x)= |x| - 4

Question 2

What is the equation of the graph below?

Accepted Answer

f(x) = I x - 2 I

Answer

f(x) = I x + 2 I

Answer

f(x) = I x + 2 I +2

Answer

f(x) = I x - 2 I +2

Question 3

What is the equation of the graph below?

Accepted Answer

f(x) = - I x - 2 I

Answer

f(x) = - I x + 2 I

Answer

f(x) =  I x + 2 I

Answer

f(x) =  I x - 2 I

Question 4

Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5

Accepted Answer

Left 2 down 5

Answer

Left 2 up 5

Answer

Right 2 up 5

Answer

Right 2 down 5

Question 5

What is the equation of the graph below?

Accepted Answer

f(x ) = -I x + 4 I + 2

Answer

f(x ) = I x + 4 I + 2

Answer

f(x ) = -I x - 4 I + 2

Answer

f(x ) = I x - 4 I + 2

Question 6

What shifts have occurred?

Accepted Answer

right 1, up 5

Answer

left 1, up 5

Answer

left 1, down 5

Answer

right 1, down 5

Question 7

What is the equation of the graph below?

Accepted Answer

f(x) = - I x I -1

Answer

f(x) = I x I -1

Answer

f(x) = I x I +1

Answer

f(x) = -I x I +1

Question 8

Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9

Accepted Answer

Left 4
Down 9

Answer

Left 4
up 9

Answer

Right 4
up 9

Answer

Right 4
Down 9

Question 9

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 10

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 11

What is the range of the absolute value function?

Accepted Answer

[0, infinity)

Answer

(-infinity, infinity)

Answer

[3, infinity)

Answer

(-infinity, 3]

Question 12

Question 12.

Accepted Answer

x = 7 or x = -13

Answer

x = 7 or x = -7

Answer

x = 7 or x = 13

Answer

x = 7

Question 13

Question 13.

Accepted Answer

x = -5 or x = 1

Answer

x = -1 or x = 5

Answer

x = 1 or x = -1

Answer

No Solutions

Question 14

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

Accepted Answer

f(x) = 2|x + 1| - 9

Answer

f(x) = |2x + 1| - 9

Answer

f(x) = |2x - 1| - 9

Answer

f(x) = 2|x - 1| - 9

Question 15

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

Accepted Answer

y = -|x - 2| - 7

Answer

y = -|x + 2| - 7

Answer

y = |x - 2| - 7

Answer

y = -|x - 2| + 7

Question 16

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 17

What is the vertex of the following function?
y= -4|x+2|+5

Accepted Answer

(-2,5)

Answer

(-4,2)

Answer

(-4,-2)

Answer

(2,5)

Question 18

What is the vertex of the following function?
y= 4|x|+1

Accepted Answer

(0,1)

Answer

(4,1)

Answer

(-4,1)

Answer

(4,-1)

Question 19

Use Narrow, Wide, or Same to compare the width of this graph to its parent function.
y = 5/2 |x - 1|+ 2

Accepted Answer

Narrow

Answer

Wide

Answer

Same

Question 20

Which function is graphed?

Accepted Answer

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

Answer

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

Answer

f(x) = -5|x + 1| + 4

Answer

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

Transformation of Absolute Value Functions

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