hoW wo In Problems 29-32, find the function that is finally graphed after each of the following transformations is applied to the graph of y = Vĩ in the order stated. 29. (1) Shift up 2 units (2) Reflect about the x-axis (3) Reflect about the y-axis 30. (1) Reflect about the x-axis (2) Shift right 3 units (3) Shift down 2 units 31. (1) Vertical stretch by a factor of 3 (2) Shift up 4 units (3) Shift left 5 units 32. (1) Shift up 2 units dem (2) Reflect about the y-axis
hoW wo In Problems 29-32, find the function that is finally graphed after each of the following transformations is applied to the graph of y = Vĩ in the order stated. 29. (1) Shift up 2 units (2) Reflect about the x-axis (3) Reflect about the y-axis 30. (1) Reflect about the x-axis (2) Shift right 3 units (3) Shift down 2 units 31. (1) Vertical stretch by a factor of 3 (2) Shift up 4 units (3) Shift left 5 units 32. (1) Shift up 2 units dem (2) Reflect about the y-axis
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please help me 31, please explain the answers

Transcribed Image Text:-3F
In Problems 19–28, write the function whose graph is the graph of y = x', but is:
19. Shifted to the right 4 units
20. Shifted to the left 4 units
21. Shifted up 4 units
22. Shifted down 4 units
23. Reflected about the y-axis
24. Reflected about the x-axis
aa
25. Vertically stretched by a factor of 5
26. Horizontally stretched by a factor of 4
1
1
27. Horizontally compressed by a factor of
28. Vertically compressed by a factor of -
4
hoW wo
In Problems 29–32, find the function that is finally graphed after each of the following transformations is applied to the graph of y = Vã
in the order stated.
29. (1) Shift up 2 units
(2) Reflect about the x-axis
(3) Reflect about the y-axis
30. (1) Reflect about the x-axis O
(2) Shift right 3 units
(3) Shift down 2 units
31. (1) Vertical stretch by a factor of 3
(2) Shift up 4 units
(3) Shift left 5 units
32. (1) Shift up 2 units
dam (2) Reflect about the y-axis
or th (3) Shift left 3 units
33. If (3,6) is a point on the graph of y = f(x), which of the
following points must be on the graph of y = -f(x)?
34. If (3, 6) is a point on the graph of y = f(x),which of the
following points must be on the graph of y = f(-x)?
(a) (6,3)
(c) (3, -6)
(a) (6,3)
(c) (3, -6)
35. If (1, 3) is a point on the graph of y = f(x), which of the
following points must be on the graph of y = 2f(x)?
(b) (6, -3)
(d) (-3, 6)
(b) (6, –3) to
(d) (-3, 6)
36. If (4, 2) is a point on the graph of y = f(x), which of the
following points must be on the graph of y = f(2x)?
(1)
osr(a) (4, 1)
(c) (2, 2)
(а)
(b) (8,2)
(d) (4,4)
(b) (2, 3)
T0 SY
(c) (1,6)
(d)
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