5. Below shows the graph of y=cos x , where -2 π

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5.
Below shows the graph of
y=cos x
, where -2 π<x<2π.
2
-2n
-3n2
-n/2
π/2
Зп// 2
2n
-1
-2-
-3
A function y=g(x) is formed from
y=cos x by the following transformations
(I)
(II)
(III)
g(x) in terms of cos x
a translation to the left by 2 T units;
a horizontal stretch by a factor of 2;
a vertical stretch by a factor of 1.5
(a)
(b)
Express
Sketch y=g(x) for -2x<x<2n on the graph above.
Transcribed Image Text:5. Below shows the graph of y=cos x , where -2 π<x<2π. 2 -2n -3n2 -n/2 π/2 Зп// 2 2n -1 -2- -3 A function y=g(x) is formed from y=cos x by the following transformations (I) (II) (III) g(x) in terms of cos x a translation to the left by 2 T units; a horizontal stretch by a factor of 2; a vertical stretch by a factor of 1.5 (a) (b) Express Sketch y=g(x) for -2x<x<2n on the graph above.
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