For question 3 and 4, consider the following function: f(x)=-cos(x)-1 3. . If the graph of y=f(x) is obtained by a few transformations from y=cos x which of the following is correct? a. y=f(x) is obtained from y=cos x by a reflection in the y-axis, a horizontal compression by a factor of and a translation of 1 unit downward. b. y=f(x) is obtained from y=cos x by a reflection in the y-axis, a horizontal stretch by a factor of 2 and a translation of 1 unit downward. C. y=f(x) is obtained from compression by a factor of 1/2 y=cos x by a reflection in the x-axis, a horizontal and a translation of 1 unit downward. d. y=f(x) is obtained from y=cos x by a reflection in the x-axis, a horizontal stretch by a factor of 2 and a translation of 1 unit downward. The period of y=f(x) is 2 л (b) л/2 (c) 4 л (d)л 4. (a)
For question 3 and 4, consider the following function: f(x)=-cos(x)-1 3. . If the graph of y=f(x) is obtained by a few transformations from y=cos x which of the following is correct? a. y=f(x) is obtained from y=cos x by a reflection in the y-axis, a horizontal compression by a factor of and a translation of 1 unit downward. b. y=f(x) is obtained from y=cos x by a reflection in the y-axis, a horizontal stretch by a factor of 2 and a translation of 1 unit downward. C. y=f(x) is obtained from compression by a factor of 1/2 y=cos x by a reflection in the x-axis, a horizontal and a translation of 1 unit downward. d. y=f(x) is obtained from y=cos x by a reflection in the x-axis, a horizontal stretch by a factor of 2 and a translation of 1 unit downward. The period of y=f(x) is 2 л (b) л/2 (c) 4 л (d)л 4. (a)
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:For question 3 and 4, consider the following function:
f(x)=-cos(x)-1
3.
9
If the graph of y=f(x) is obtained by a few transformations from y=cos x which of the
following is correct?
a.
y=f(x) is obtained from y=cos x by a reflection in the y-axis, a horizontal
compression by a factor of
and a translation of 1 unit downward.
b.
y=f(x) is obtained from y=cos x by a reflection in the y-axis, a horizontal
stretch by a factor of 2 and a translation of 1 unit downward.
C.
y=f(x) is obtained from y=cos x by a reflection in the x-axis, a horizontal
compression by a factor of/1/2 and a translation of 1 unit downward.
d.
y=f(x) is obtained from y=cos x by a reflection in the x-axis, a horizontal
stretch by a factor of 2 and a translation of 1 unit downward.
The period of y=f(x) is
2 п
(b) л/2
(c) 4
(d) π
4.
(a)
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