NameGroup #Math 115 Fall 2019Topic 4: TransformationsProblem 1-Transformations of the Absolute Value Function: For each part below, the tableof values and the graph for f(x) = lxl is given. Complete the table and sketch the graph for thegiven function, and compare it to function f.a. Complete the table for the function g(x) = lxl +2. Then sketch its graph.l |f(x)= lxg(x)= lxl + 2X00112331-1-223-3How does the graph of g (x) compare to the graphof f(x)?b. Complete the table for the function j(x) = lx + 21. Then sketch its graph.j(x) = |x + 21f(x) = |xx00112331-12-23-3How does the graph of /(x) compare to the graphof f (x)?p. 142/N2

Question
Asked Aug 31, 2019
Name
Group #
Math 115 Fall 2019
Topic 4: Transformations
Problem 1-Transformations of the Absolute Value Function: For each part below, the table
of values and the graph for f(x) = lxl is given. Complete the table and sketch the graph for the
given function, and compare it to function f.
a. Complete the table for the function g(x) = lxl +2. Then sketch its graph.
l |
f(x)= lx
g(x)= lxl + 2
X
0
0
1
1
2
3
3
1
-1
-2
2
3
-3
How does the graph of g (x) compare to the graph
of f(x)?
b. Complete the table for the function j(x) = lx + 21. Then sketch its graph.
j(x) = |x + 21
f(x) = |x
x
0
0
1
1
2
3
3
1
-1
2
-2
3
-3
How does the graph of /(x) compare to the graph
of f (x)?
p. 14
2/
N
2
help_outline

Image Transcriptionclose

Name Group # Math 115 Fall 2019 Topic 4: Transformations Problem 1-Transformations of the Absolute Value Function: For each part below, the table of values and the graph for f(x) = lxl is given. Complete the table and sketch the graph for the given function, and compare it to function f. a. Complete the table for the function g(x) = lxl +2. Then sketch its graph. l | f(x)= lx g(x)= lxl + 2 X 0 0 1 1 2 3 3 1 -1 -2 2 3 -3 How does the graph of g (x) compare to the graph of f(x)? b. Complete the table for the function j(x) = lx + 21. Then sketch its graph. j(x) = |x + 21 f(x) = |x x 0 0 1 1 2 3 3 1 -1 2 -2 3 -3 How does the graph of /(x) compare to the graph of f (x)? p. 14 2/ N 2

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Expert Answer

Step 1

Graph of part a

8
|x + 2
X2
4
x
-6
-4
-2
0
2
6
|Graph of lx and |x| + 2
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8 |x + 2 X2 4 x -6 -4 -2 0 2 6 |Graph of lx and |x| + 2

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Step 2

Completing the table with the help of the graph given in the step1.

xl2
X
0
1
1
3
2
2
4
3
3
5
-1
1
-2
2
4
-3
3
5
We can see from the graph that g(x) is obtained when f(x) is shifted 2
unit upward in y-axis
help_outline

Image Transcriptionclose

xl2 X 0 1 1 3 2 2 4 3 3 5 -1 1 -2 2 4 -3 3 5 We can see from the graph that g(x) is obtained when f(x) is shifted 2 unit upward in y-axis

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Step 3

Graph of pa...

6
x +2
x +2 ]
-6
-2
0
6
Graph of lx and |x + 2
help_outline

Image Transcriptionclose

6 x +2 x +2 ] -6 -2 0 6 Graph of lx and |x + 2

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