What is the equation of the absolute value function?
f(x)= |x+4|
f(x)= |x-4|
f(x)= |x| + 4
f(x)= |x| - 4
2. Multiple Choice
1.5 minutes
1 pt
What is the equation of the graph below?
f(x) = I x + 2 I
f(x) = I x + 2 I +2
f(x) = I x - 2 I +2
f(x) = I x - 2 I
3. Multiple Choice
1.5 minutes
1 pt
What is the equation of the graph below?
f(x) = - I x + 2 I
f(x) = - I x - 2 I
f(x) = I x + 2 I
f(x) = I x - 2 I
4. Multiple Choice
1 minute
1 pt
Describe the transformation of the equation below from the parent function of y = IxI y = I x + 2 I - 5
Left 2 up 5
Right 2 up 5
Left 2 down 5
Right 2 down 5
5. Multiple Choice
1 minute
1 pt
What is the equation of the graph below?
f(x ) = I x + 4 I + 2
f(x ) = -I x - 4 I + 2
f(x ) = I x - 4 I + 2
f(x ) = -I x + 4 I + 2
6. Multiple Choice
1 minute
1 pt
What shifts have occurred?
left 1, up 5
left 1, down 5
right 1, down 5
right 1, up 5
7. Multiple Choice
1 minute
1 pt
What is the equation of the graph below?
f(x) = I x I -1
f(x) = I x I +1
f(x) = - I x I -1
f(x) = -I x I +1
8. Multiple Choice
1 minute
1 pt
Which of the following describes the horizontal and vertical translations of the following functions: f(x) = |x + 4| - 9
Left 4 up 9
Left 4 Down 9
Right 4 up 9
Right 4 Down 9
9. Multiple Choice
1 minute
1 pt
Describe the transformation from the Absolute Value Parent Function.
Stretches more narrow, shifts up 4 units
Stretches more narrow, shifts down 4 units
Compresses wider, shifts up 4 units
Compresses wider, shifts down 4 units
10. Multiple Choice
3 minutes
1 pt
Describe the transformations of the absolute value equation.
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
Flips to A shape, stretches more narrow, shifts up 1 unit
11. Multiple Choice
3 minutes
1 pt
What is the range of the absolute value function?
(-infinity, infinity)
[3, infinity)
[0, infinity)
(-infinity, 3]
12. Multiple Choice
1 minute
1 pt
x = 7 or x = -7
x = 7 or x = -13
x = 7 or x = 13
x = 7
13. Multiple Choice
30 seconds
1 pt
x = -1 or x = 5
x = 1 or x = -1
x = -5 or x = 1
No Solutions
14. Multiple Choice
5 minutes
12 pts
Write an absolute value function given the following transformations: Vertical Stretch of 2 Horizontal shift left 1 unit Vertical shift down 9 units
f(x) = |2x + 1| - 9
f(x) = |2x - 1| - 9
f(x) = 2|x + 1| - 9
f(x) = 2|x - 1| - 9
15. Multiple Choice
5 minutes
1 pt
Write an absolute value function given the following transformations: Reflection across the x-axis Vertical shift right 2 units Horizontal shift down 7 units
y = -|x + 2| - 7
y = |x - 2| - 7
y = -|x - 2| - 7
y = -|x - 2| + 7
16. Multiple Choice
1 minute
1 pt
What is the equation of the graph below? You can click the picture to zoom in!
y = - | x + 2| + 4
y = - | x - 2| + 4
y = | x - 2 | + 4
y = | x - 2| - 4
17. Multiple Choice
1.5 minutes
1 pt
What is the vertex of the following function? y= -4|x+2|+5
(-4,2)
(-2,5)
(-4,-2)
(2,5)
18. Multiple Choice
1.5 minutes
1 pt
What is the vertex of the following function? y= 4|x|+1
(0,1)
(4,1)
(-4,1)
(4,-1)
19. Multiple Choice
30 seconds
1 pt
Use Narrow, Wide, or Same to compare the width of this graph to its parent function. y = 5/2 |x - 1|+ 2