WorksheetsTransformations of Absolute Value Graphs
Total questions: 14
Worksheet time: 20mins
Name
Class
Date
1.
Which graph represents the parent function of an Absolute Value?
a)
Black
b)
Blue
c)
Orange
d)
Red
2.
Which function defines the graph?
a)
f(x) = |x - 4| + 3
b)
f(x) = |x - 3| + 4
c)
f(x) = |-x + 4| + 3
d)
f(x) = |x + 4| + 3
3.
What is the range of the function?
a)
all real numbers
b)
3 ≤ y
c)
-4 ≤ y
d)
3 ≤ y ≤ 7
4.
Which function has the greater maximum value?
a)
f(x)
b)
g(x)
5.
What is the equation of the absolute value function?
a)
f(x)= |x+4|
b)
f(x)= |x-4|
c)
f(x)= |x| + 4
d)
f(x)= |x| - 4
6.
What is the equation of the absolute value function?
a)
f(x)= 4|x+3|
b)
f(x)= 1/4 |x+3|
c)
f(x)= 1/4 |x - 3|
d)
f(x)= 4|x - 3|
7.
What is the range of the absolute value function?
a)
all real numbers
b)
y≥3
c)
y≥0
d)
y<0
8.
Describe the transformation from the Absolute Value Parent Function.
a)
Stretches more narrow, shifts right
b)
Stretches wider, shifts right
c)
Stretches more narrow, shifts left
d)
Stretches wider, shifts left
9.
Describe the transformations of the absolute value equation.
a)
Reflects over x-axis, compresses wider, shifts right 1 unit
b)
Reflects over x-axis, compresses wider, shifts up 1 unit
c)
Reflects over x-axis, stretches more narrow, shifts right 1 unit
d)
Reflects over x-axis, stretches more narrow, shifts up 1 unit
10.
What is the equation of the graph below?
a)
f(x ) = I x + 4 I + 2
b)
f(x ) = -I x - 4 I + 2
c)
f(x ) = I x - 4 I + 2
d)
f(x ) = -I x + 4 I + 2
11.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
12.
Describe the transformation that is applied to the parent function.
f(x) = IxI -5
f(x) = IxI -5
a)
Shifts left 5
b)
Shifts right 5
c)
Shifts up 5
d)
Shifts down 5
13.
What is the vertex of of the graph of this equation?
y=8∣x−3∣+7
a)
(3, 7)
b)
(8, 7)
c)
(-3, 7)
d)
(-3, 8)
14.
What is the vertex of the graph of this equation?
y=−∣x+6∣
a)
(-1, 6)
b)
(-6, 1)
c)
(-6, 0)
d)
(6, 0)
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