Quiz about Absolute Value Graphing Transformations

Question 1

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 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

Answer

f(x) =  I x - 2 I

Question 3

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 4

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 5

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

Accepted Answer

reflected over x axis, stretched by 2, right 3, up 3

Answer

reflected over x axis, stretched by 2, left 3 up 3.

Answer

reflected over x axis, shrunk by 2, right 3, up 3

Answer

reflected over the x axis, shrunk by 2, left 3, up 3

Question 6

What is the equation of the absolute value function?

Accepted Answer

f(x)= 4|x - 3|

Answer

f(x)= 4|x+3|

Answer

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

Answer

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

Question 7

What is the vertex of the absolute value function?

Accepted Answer

(0, 4)

Answer

(4, 0)

Answer

(-infinity, infinity)

Answer

[4, infinity)

Question 8

What is the domain of the absolute value function?

Accepted Answer

(-infinity, infinity)

Answer

(4, 0)

Answer

(0, 4)

Answer

[4, infinity)

Question 9

What is the range of the absolute value function?

Accepted Answer

[0, infinity)

Answer

(-infinity, infinity)

Answer

[3, infinity)

Answer

(-infinity, 3]

Question 10

Write the equation for a graph that is compressed by a factor of 2/5 and shifted right 6.

Accepted Answer

y=2/5|x-6|

Answer

y=6|x|-2/5

Answer

y=2/5|x|+6

Answer

y=2/5|x+6|

Question 11

What is the vertex of the following function?
y=2|x-3|+1

Accepted Answer

(3,1)

Answer

(2,3)

Answer

(-3,1)

Answer

(2,-3)

Question 12

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

Accepted Answer

(-1,5)

Answer

(2,5)

Answer

(-4,-2)

Answer

(-2,5)

Question 13

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 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

What is the equation of this graph?

Accepted Answer

y=-2|x-1|+3

Answer

y=2|x-3|+1

Answer

y=2|x-1|+3

Answer

y=-2|x-3|+1

Question 16

Write an absolute value function given the following transformations:
Horizontal Compression of 1/3
Horizontal shift left 9 unit
Vertical shift up 2 units

Accepted Answer

y = |3(x + 9)| + 2

Answer

y = |3(x - 9)| + 2

Answer

y = |3x - 9| + 2

Answer

y = |3x + 9| + 2

Question 17

What was the very first Disney movie ever made?

Accepted Answer

Snow White and the Seven Dwarfs

Answer

Peter Pan

Answer

Alice in Wonderland

Answer

Cinderella

Question 18

Given y= -3 l x-1 l -4; find the axis of symmetry

Accepted Answer

x=1

Answer

x=-4

Answer

x=-1

Answer

x=4

Question 19

What is the equation for axis of symmetry?

Accepted Answer

x=3

Answer

y=3

Answer

x=5

Answer

x=1

Question 20

What are the green dots called?

Accepted Answer

roots or x-intercepts

Answer

axis of symmetry

Answer

vertex

Answer

parabola

Question 21

What is the green dot on the parabola called?

Accepted Answer

maximum

Answer

minumum

Answer

roots

Answer

zeros

Question 22

What are the x- intercepts?

Accepted Answer

x= 0 and x= 4

Answer

x= 0 and x= -4

Answer

y= 0

Answer

x= 2

Question 23

Give the y-intercept

Accepted Answer

(0,-2)

Answer

(2,0)

Answer

(0,2)

Answer

there is no y-intercept

Question 24

What is the vertex?

Accepted Answer

(-2,-1)

Answer

(-1,-2)

Answer

(-3,-1)

Answer

(2,1)

Absolute Value Graphing Transformations

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