7. Use the graph of the function k(r) to answer the following problems. y = k(x) -5-4-2-2- 4 3 2 1 71 5 4 3 (a) Find a formula for the transformations of k(a). Be sure to explain the reasoning for your formula. (i) f(x)=k(-2r+1) 2 1 -5-4-3-2-1 1 2 3 4 5 2 -3 31 12345 -5-4-3-2-1 -3 (b) Graph the following transformations of k(r). Be sure to explain the reasoning for your graphs. 345 (ii) g(x) = -2k(x) + 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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7. Use the graph of the function k(r) to answer the following problems.
y = k (x)
-5-4-3-2-
5
4
3
50 21
2
-2
-3
4
3
2
(a) Find a formula for the transformations of k(2). Be sure to explain the reasoning for
your formula.
1
-5-4-3-2-1
X2 560
1 2 3 4 5
-3
-4
1 2 3 4 5
5
4
3
2
-5-4-3-2-1
-3
3 4 5
(b) Graph the following transformations of k(r). Be sure to explain the reasoning for your
graphs.
(i) f(x)=k(-2x+1)
(ii) g(x) = -2k(x) + 1
Transcribed Image Text:7. Use the graph of the function k(r) to answer the following problems. y = k (x) -5-4-3-2- 5 4 3 50 21 2 -2 -3 4 3 2 (a) Find a formula for the transformations of k(2). Be sure to explain the reasoning for your formula. 1 -5-4-3-2-1 X2 560 1 2 3 4 5 -3 -4 1 2 3 4 5 5 4 3 2 -5-4-3-2-1 -3 3 4 5 (b) Graph the following transformations of k(r). Be sure to explain the reasoning for your graphs. (i) f(x)=k(-2x+1) (ii) g(x) = -2k(x) + 1
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