8:51 AM Thu Dec 1 < 1/2 > 174% EXERCISE 2F -8-7-6-5-4-3- 1 The graph of y = f(x) is shown. Sketch the graph of the following functions, including the position of the minimum and maximum points. a HIN i ii bi ii 8 7 6 5 4 3 2 1 y = f(x) + 3 y = f(x) +5 Y f(x) - 7 ii y = f(x) - 0.5 ci y = f(x + 2) y = f (x + 4) di y = f(x - 1.5) -2 -3 -4 -5 -6 -7 -8 csusa-fl.schoology.com 1 2 3 4 5 6 7 8 ab] 93%

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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Please help me answer 1.ai, 1.ci, 2.ai, 2.bi, and 2.ci

8:51 AM Thu Dec 1
1 /2 >
174%
EXERCISE 2F
1
The graph of y = f(x) is shown. Sketch the graph of the following functions, including
the position of the minimum and maximum points.
a
7
ii
654 3
bi y =
6
5
-8-7-6-5-4-3-2-10
4
3
2
i y = f(x) + 3
y = f(x) +5
f(x) — 7
ii y = f(x) - 0.5
ci y = f(x + 2)
ii_y=f(x+4)
di y = f(x - 1.5)
-2
-3
-4
-5
-6
-7
-8
567
csusa-fl.schoology.com
2 3 4 5 6 7 8
ab
X
93%
Transcribed Image Text:8:51 AM Thu Dec 1 1 /2 > 174% EXERCISE 2F 1 The graph of y = f(x) is shown. Sketch the graph of the following functions, including the position of the minimum and maximum points. a 7 ii 654 3 bi y = 6 5 -8-7-6-5-4-3-2-10 4 3 2 i y = f(x) + 3 y = f(x) +5 f(x) — 7 ii y = f(x) - 0.5 ci y = f(x + 2) ii_y=f(x+4) di y = f(x - 1.5) -2 -3 -4 -5 -6 -7 -8 567 csusa-fl.schoology.com 2 3 4 5 6 7 8 ab X 93%
2 Find the equation of each of these graphs after the given transformation is applied:
a i y =
3x² after a translation of 3 units vertically up
y
9x² after a translation of 7 units vertically down
y = 7x³ + 3x + 6 after a translation of 2 units down
ii
bi
C
8x³7x + 1 after a translation of 5 units up
3
4x² after a translation of 5 units to the right
7x² after a translation of 3 units to the left
di y= =
3x²5x² + 4 after a translation of 4 units to the left
ii_y= x³ − 6x + 2 after a translation of 3 units to the right
ii
i
ii
y
y
=
y
=
=
=
Transcribed Image Text:2 Find the equation of each of these graphs after the given transformation is applied: a i y = 3x² after a translation of 3 units vertically up y 9x² after a translation of 7 units vertically down y = 7x³ + 3x + 6 after a translation of 2 units down ii bi C 8x³7x + 1 after a translation of 5 units up 3 4x² after a translation of 5 units to the right 7x² after a translation of 3 units to the left di y= = 3x²5x² + 4 after a translation of 4 units to the left ii_y= x³ − 6x + 2 after a translation of 3 units to the right ii i ii y y = y = = =
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