Quiz about Absolute Value Function (transformation & axis of symmetry)

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

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 9

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 10

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 11

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 12

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

Question 13

Which function is graphed?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 14

Which function is graphed?

Accepted Answer

f(x) = -|2x + 6| + 5

Answer

f(x) = -|2x - 3| + 5

Answer

f(x) = -|x + 5| - 3

Answer

f(x) = -2|x + 5| - 3

Question 15

What is the line of symmetry of the following function?

y= -4|x+2|+5

Accepted Answer

x=-2

Answer

x=-4

Answer

x=2

Answer

x=5

Question 16

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 4up 9

Answer

Right 4

up 9

Question 17

What is the transformation for the following equation:

y = 5|x|

Accepted Answer

Vertical Stretch

Answer

Compression

Question 18

What is the axis of symmetry for the following graph?

Accepted Answer

x=3

Answer

y=3

Answer

x=2

Answer

y=2

Answer

y=0

Question 19

What is the axis of symmetry for the following graph?

Accepted Answer

x=-3

Answer

y=-4

Answer

x=-4

Answer

y=-3

Answer

x=3

Question 20

What is the axis of symmetry for the following graph?

Accepted Answer

x=-2

Answer

x=0

Answer

y=2

Answer

y=-2

Answer

x=2

Absolute Value Function (transformation & axis of symmetry)

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