1. For each situation below, state the transformation(s) that occur between f(x) and g(x). f(x) g(x) Transformation(s) f(x)=4x+5 g(x)=-4x+7 f(x)='/3x-2 g(x)=3(x+2)-2 f(x)=-2/3x+16 g(x)=?/3 (x-3)-16

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ylon to
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Using Functions to Model Real Change
Name:
Directions: Answer the following questions. Make sure to show all your work.
1. For each situation below, state the transformation(s) that occur between
f(x) and g(x).
f(x)
g(x)
Transformation(s)
f(x)=4x+5
g(x)=-4x+7
f(x)='/3x-2
g(x)=3(x+2)-2
f(x)=-2/3x+16
g(x)=2/3 (x-3)-16
f(x)=14(x-3)+1
g(x)=7(x+ 2)+1
f(x)=6(x+2)-3
g(x)=8(x- 3)+6
f(x)=3(x-1)+2/3
g(x)=3(3-x)-2/3
f(x)=-\/½ (x+2)-4
g(x)='/3(-x-2)+6
f(x)="/3(x-2/3)+'/3
g(x)=/3(?/3 -x)
Continue on the following page.
Transcribed Image Text:ylon to need Using Functions to Model Real Change Name: Directions: Answer the following questions. Make sure to show all your work. 1. For each situation below, state the transformation(s) that occur between f(x) and g(x). f(x) g(x) Transformation(s) f(x)=4x+5 g(x)=-4x+7 f(x)='/3x-2 g(x)=3(x+2)-2 f(x)=-2/3x+16 g(x)=2/3 (x-3)-16 f(x)=14(x-3)+1 g(x)=7(x+ 2)+1 f(x)=6(x+2)-3 g(x)=8(x- 3)+6 f(x)=3(x-1)+2/3 g(x)=3(3-x)-2/3 f(x)=-\/½ (x+2)-4 g(x)='/3(-x-2)+6 f(x)="/3(x-2/3)+'/3 g(x)=/3(?/3 -x) Continue on the following page.
2. Given the graph below, answer the following questions.
9-
8-
-7-
BI
-9-
5-
37
b. W
1-
-7
-6
-5
-4
-3
-1
-1-
-2-
-3-
4-
-6-
-7-
a. What is the function that represents line A?
b. What is the function that represents line B?
c. List the transformation(s) that must occur for line A to become line B.
Continue on the following page.
Transcribed Image Text:2. Given the graph below, answer the following questions. 9- 8- -7- BI -9- 5- 37 b. W 1- -7 -6 -5 -4 -3 -1 -1- -2- -3- 4- -6- -7- a. What is the function that represents line A? b. What is the function that represents line B? c. List the transformation(s) that must occur for line A to become line B. Continue on the following page.
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