I need help figuring this out Exercises 7-12, describe the transformation of f represented by g. Then graphch function.f(x) = Vx; g(x) = Vx - 1 + 4f(x) = Vx; g(x) = 3\\x + 2%3D%3D7.8.

Name: I need help figuring this out Exercises 7-12, describe the transformat
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Description: I need help figuring this out Exercises 7-12, describe the transformation of f represented by g. Then graphch function.f(x) = Vx; g(x) = Vx - 1 + 4f(x) = Vx; g(x) = 3\\x + 2%3D%3D7.8.

Answered: S(x) = Vx; g(x) = vx-1+4 Vx -1 + 4 7.…

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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I need help figuring this out

Exercises 7-12, describe the transformation of f represented by g. Then graph
ch function.
f(x) = Vx; g(x) = Vx - 1 + 4
f(x) = Vx; g(x) = 3\\x + 2
%3D
%3D
7.
8.

Expert Solution

Step 1

Hey, since there are multiple questions posted, we will answer first question. If you want any specific question to be answered then please submit that question only or specify the question number in your message

(7)

The functions are $f (x) = \sqrt{x}$ and $g (x) = \sqrt{x - 1} + 4$ .

Here $f (x) = \sqrt{x}$ is the parent function and $g (x) = \sqrt{x - 1} + 4$ is the transformed function.

Recall the fact that the transformation $f (x - b)$ shifts the function b units to the right and $f (x) + b$ shifts the function b units upward.

Step 2

First $f (x) = \sqrt{x}$ transforms to $\sqrt{x - 1}$ by shifting $f (x) = \sqrt{x}$ one unit to the right.

Secondly $\sqrt{x - 1}$ transforms to $g (x) = \sqrt{x - 1} + 4$ by shifting $\sqrt{x - 1}$ four units upward.

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