1.Use the graph of y = f(x) given below to sketch the graphs in parts (a) to (d).104.-10 -8 -6.-4-224.8 10-24-8-10(a) y = f (x+2)(b) y = f(x/2)10108.86.6.4.21-10 -8 -64 -2-26 8 10-10 -8 -64.-2.-24.2468 10-4-4-8-10-10(c) y = 2f(x)(d) y = f(-x)10108.8.6.6.4.22-10 -8-6 4-22.-26 8 10-10-8-6-48 10-2.-24.24 6-4-4-8-10L-10 2.Sketch the graph of y = -2|x – 1| +3 by starting with the graph of a parentfunction and applying transformations. Show all the steps.10108.86.6.22--10 -8-6-4-22.4.6 8 10-10 -8 -6 -4-22.4.6.8 10-2-2-4-4-6-6-8-8-10[-1010108.8.6.4422-10 -8-6 -4 -22.6.8 108 10-22.-2-10 -8 -6-44.6.-2-44-6-6-8-8-10-10co

AS per the guidelines, I am supposed to do the 1st question only. Kindly repost the other…

1. Use the graph of y = f(x) given below to sketch the graphs in parts (a) to (d). 10 - 81 21 -10 -8 64 2 4 6 8 10 -2 -4 -10L (a) y = f (x+ 2) 10 (b) y = f(x/2) 10 4. 2 21 -10 86 -2 6 8 10 -10.-86 2. 6 8 10 -2 2 -2 -8 -10L -10 (c) y = 2f(x) 10 (d) y = f(-x) 10 4 21 2 -10 8 6 4-2 -2 68 10 24 . 6 8 10 -10.-86 42 24 -2 4 -4 -10L -10

1. Use the graph of y = f(x) given below to sketch the graphs in parts (a) to (d). 10 - 81 21 -10 -8 64 2 4 6 8 10 -2 -4 -10L (a) y = f (x+ 2) 10 (b) y = f(x/2) 10 4. 2 21 -10 86 -2 6 8 10 -10.-86 2. 6 8 10 -2 2 -2 -8 -10L -10 (c) y = 2f(x) 10 (d) y = f(-x) 10 4 21 2 -10 8 6 4-2 -2 68 10 24 . 6 8 10 -10.-86 42 24 -2 4 -4 -10L -10

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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Concept explainers

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.

Question

1.
Use the graph of y = f(x) given below to sketch the graphs in parts (a) to (d).
10
4.
-10 -8 -6.-4-2
2
4.
8 10
-2
4
-8
-10
(a) y = f (x+2)
(b) y = f(x/2)
10
10
8.
8
6.
6.
4.
21
-10 -8 -64 -2
-2
6 8 10
-10 -8 -64.
-2.
-2
4.
246
8 10
-4
-4
-8
-10
-10
(c) y = 2f(x)
(d) y = f(-x)
10
10
8.
8.
6.
6.
4.
2
2
-10 -8-6 4-2
2.
-2
6 8 10
-10-8-6-4
8 10
-2.
-2
4.
24 6
-4
-4
-8
-10L
-10

2.
Sketch the graph of y = -2|x – 1| +3 by starting with the graph of a parent
function and applying transformations. Show all the steps.
10
10
8.
8
6.
6.
2
2-
-10 -8
-6
-4-2
2.
4.
6 8 10
-10 -8 -6 -4
-2
2.
4.
6.
8 10
-2
-2
-4
-4
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-8
-8
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-10
10
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8.
8.
6.
4
4
2
2
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-6 -4 -2
2.
6.
8 10
8 10
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2.
-2
-10 -8 -6
-4
4.
6.
-2
-4
4
-6
-6
-8
-8
-10
-10
co

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