30. f(x) = |x|; reflection in the y-axis followed by a translation 3 units to the right

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please do #28 and #30
In Exercises 27-32, write a function g whose graph
represents the indicated transformations of the graph
of f. (See Example 4.)
27. f(x) = x; vertical stretch by a factor of 2 followed by a
translation 1 unit up
28. f(x) = x; translation 3 units down followed by a
vertical shrink by a factor of
1
3
29. f(x) = |x; translation 2 units to the right followed by
a horizontal stretch by a factor of 2
30. f(x) = |x|; reflection in the y-axis followed by a
translation 3 units to the right
TE
31. f(x) = |x|
32. f(x) = |x|
%3D
f
f
-8
-4
4
8 x
-4
-4-2
2
4 x
Transcribed Image Text:In Exercises 27-32, write a function g whose graph represents the indicated transformations of the graph of f. (See Example 4.) 27. f(x) = x; vertical stretch by a factor of 2 followed by a translation 1 unit up 28. f(x) = x; translation 3 units down followed by a vertical shrink by a factor of 1 3 29. f(x) = |x; translation 2 units to the right followed by a horizontal stretch by a factor of 2 30. f(x) = |x|; reflection in the y-axis followed by a translation 3 units to the right TE 31. f(x) = |x| 32. f(x) = |x| %3D f f -8 -4 4 8 x -4 -4-2 2 4 x
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