Chapter 6, Section 6.2, Question 037 The table below contains values of f(x) 0 -6 -2 2 4 -4 f(x) -8 12 4 14 -2 10 Each function in parts (a)-(c) is obtained by applying a single transformation to f(x). The transformation may be a stretch, compression, shift, or reflection. Find a possible formula for each of these functions in terms of f For example, given the data in the table below, we would say that g(x) = 3f(x). 0 -6 -4 -2 2 4 g(x) 36 12 -24 -42 -6 30 (a) 0 -6 -4 -2 2 4 -1.6-2.8-0.4 h(x) 0.8 2 2.4 h(x) (c) -2 -6 -4 2 4 6 -17 т(x) 9 -11 -5 -3 7 О т(x) 3 3 —f (x) О т(x) 3D f(x) +3 О т(x) %3D f(x) — 3 О т(x) %3Df(x — 3) О т(x) 3D f(x + 3) Open Show Work Click if you would like to Show Work for this question:
Chapter 6, Section 6.2, Question 037 The table below contains values of f(x) 0 -6 -2 2 4 -4 f(x) -8 12 4 14 -2 10 Each function in parts (a)-(c) is obtained by applying a single transformation to f(x). The transformation may be a stretch, compression, shift, or reflection. Find a possible formula for each of these functions in terms of f For example, given the data in the table below, we would say that g(x) = 3f(x). 0 -6 -4 -2 2 4 g(x) 36 12 -24 -42 -6 30 (a) 0 -6 -4 -2 2 4 -1.6-2.8-0.4 h(x) 0.8 2 2.4 h(x) (c) -2 -6 -4 2 4 6 -17 т(x) 9 -11 -5 -3 7 О т(x) 3 3 —f (x) О т(x) 3D f(x) +3 О т(x) %3D f(x) — 3 О т(x) %3Df(x — 3) О т(x) 3D f(x + 3) Open Show Work Click if you would like to Show Work for this question:
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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Transcribed Image Text:Chapter 6, Section 6.2, Question 037
The table below contains values of f(x)
0
-6
-2
2
4
-4
f(x)
-8
12
4
14
-2
10
Each function in parts (a)-(c) is obtained by applying a single transformation to f(x). The transformation may be a stretch, compression, shift, or reflection. Find a possible formula
for each of these functions in terms of f
For example, given the data in the table below, we would say that g(x) = 3f(x).
0
-6
-4
-2
2
4
g(x)
36
12
-24
-42
-6
30
(a)
0
-6
-4
-2
2
4
-1.6-2.8-0.4
h(x)
0.8
2
2.4
h(x)
Transcribed Image Text:(c)
-2
-6
-4
2
4
6
-17
т(x)
9
-11
-5
-3
7
О т(x) 3 3 —f (x)
О т(x) 3D f(x) +3
О т(x) %3D f(x) — 3
О т(x) %3Df(x — 3)
О т(x) 3D f(x + 3)
Open Show Work
Click if you would like to Show Work for this question:
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