Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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• SKILLS.
In Exercises 1-6, write the function whose graph is the graph of y = |x, but is transformed accordingly.
1. Shifted up three units
2. Shifted to the left four units
Reflected about the y-axis
4. Reflected about the x-axis
Vertically stretched by a factor of 3
Vertically compressed by a factor of 3
In Exercises 7-12, write the function whose graph is the graph of y = x, but is transformed accordingly.
1. Shifted down four units
8. Shifted to the right three units
11. Reflected about the y-axis
9. Shifted up three units and to the left one unit
10. Reflected about the x-axis
12. Reflected about both the x-axis and the
у-ахis
In Exercises 13-28, use the given graph to sketch the graph of the indicated functions.
13.
Ay
14.
15.
16.
Ay
a. y f(x- 2)
b. y f(x)- 2
a. y = f(x + 2)
b. y = f(x) + 2
a. y = f(x) – 3
a. y f(x) + 3
b. y f(x + 3)
%3D
b. y f(x - 3)
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Transcribed Image Text:• SKILLS. In Exercises 1-6, write the function whose graph is the graph of y = |x, but is transformed accordingly. 1. Shifted up three units 2. Shifted to the left four units Reflected about the y-axis 4. Reflected about the x-axis Vertically stretched by a factor of 3 Vertically compressed by a factor of 3 In Exercises 7-12, write the function whose graph is the graph of y = x, but is transformed accordingly. 1. Shifted down four units 8. Shifted to the right three units 11. Reflected about the y-axis 9. Shifted up three units and to the left one unit 10. Reflected about the x-axis 12. Reflected about both the x-axis and the у-ахis In Exercises 13-28, use the given graph to sketch the graph of the indicated functions. 13. Ay 14. 15. 16. Ay a. y f(x- 2) b. y f(x)- 2 a. y = f(x + 2) b. y = f(x) + 2 a. y = f(x) – 3 a. y f(x) + 3 b. y f(x + 3) %3D b. y f(x - 3)
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