WorksheetsAbsolute Value Functions Graphs
Total questions: 15
Worksheet time: 2hrs 31mins
Which of the following equations matches the graph?
y=∣x−3∣+2
y=−∣x−3∣+2
y=∣x+3∣+2
y=∣x+3∣−2
Select all that apply. (May have more than one correct answer)
f(x) = |x - 6| + 2
Horizontal translation right 6 units
Horizontal translation left 6 units
Vertical translation up 2 units
Vertical translation down 2 units
Which function defines the graph?
f(x) = |x - 4| + 3
f(x) = |x - 3| + 4
f(x) = |-x + 4| + 3
f(x) = |x + 4| + 3
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
What is the equation of the graph below?
y = - | x + 2| + 4
y = | x - 2| - 4
y = - | x - 2| + 4
y = | x - 2 | + 4
Which of the graphs given is
y=|x+1|−4 ?
(Click on the picture to enlarge it so you can see)
A
B
C
y=D
What function best describes this graph? (Click the picture to zoom in)
f(x)= -|x+4| + 1
f(x)= |x-1| + 4
f(x)= |x+1| + 4
f(x)= -|x+1| + 4
What is the graph of the equation y=|x+2|+1?
(Click the picture to see all the graphs up close)
A
B
C
D
What is the graph of y=|x|−2 ?
(Click the picture to see the graphs up close)
A
B
C
D
Which graph matches the function?
y = -2|x - 3| + 5 ?
(Click the picture to zoom in and see the graphs up close!)
A
B
C
D
Which function defines the graph?
f(x) = |x - 4| + 3
f(x) = |x - 3| + 4
f(x) = |-x + 4| + 3
f(x) = |x + 4| + 3
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
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
What is the equation of the graph below?
y = - | x + 2| + 4
y = | x - 2| - 4
y = - | x - 2| + 4
y = | x - 2 | + 4
Describe in words how the graph transformed.
