Worksheets2.1. Transforming Absolute Value Function (BR)
Total questions: 12
Worksheet time: 14mins
Name
Class
Date
1.
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
2.
What is the equation of the graph below?
a)
f(x) = - I x + 2 I
b)
f(x) = - I x - 2 I
c)
f(x) = I x + 2 I
d)
f(x) = I x - 2 I
3.
Describe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5
y = I x + 2 I - 5
a)
Left 2 up 5
b)
Right 2 up 5
c)
Left 2 down 5
d)
Right 2 down 5
4.
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
5.
Which of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9
f(x) = |x + 4| - 9
a)
Left 4
up 9
up 9
b)
Left 4
Down 9
Down 9
c)
Right 4
up 9
up 9
d)
Right 4
Down 9
Down 9
6.
What is the equation of the graph below?
a)
f(x) = I x I -1
b)
f(x) = I x I +1
c)
f(x) = - I x I -1
d)
f(x) = -I x I +1
7.
What is the equation of the graph below?
a)
f(x) = I x + 2 I
b)
f(x) = I x + 2 I +2
c)
f(x) = I x - 2 I +2
d)
f(x) = I x - 2 I
8.
Write an equation of the graph.
a)
y = -|x + 3| - 2
b)
y = -|x - 3| - 2
c)
y = -|x - 3| + 2
d)
y = -|x + 3| + 2
9.
Which function is graphed?
a)
f(x) = 2|x - 5|
b)
f(x) = |x - 5|
c)
f(x) = |x - 5| + 5
d)
f(x) = |x| + 5
10.
Which function is graphed?
a)
f(x) = 2|x + 2| -4
b)
f(x) = 2|x - 4| + 2
c)
f(x) = |x + 2| - 4
d)
f(x) = -2|x - 4|
11.
Which function is graphed?
a)
f(x) = -|2x - 3| + 5
b)
f(x) = -|x + 5| - 3
c)
f(x) = -|x + 3| + 5
d)
f(x) = -2|x + 5| - 3
12.
List the translations or reflections of this function.
f(x)= -|x-5| -2
a)
Reflection over x-axis, Down 2, Right 5
b)
Reflection over x-axis, Down 2, Left 5
c)
Down 2, right 5
d)
Down 2, left 5
100 %
