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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

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 30P: In this problem you are asked to find a function that models in real life situation and then use the...
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Please help me 31, please explain the answers
-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)
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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