Use a transformation of the graph of y=x to graph the function.h(x)=3-(x-2)Choose the correct graph below.OA.QOMOB.OC.O D.Q

Answered: Image /qna-images/answer/f359c751-c371-4e83-ac73-534b0518a490.jpg

Answered: Use a transformation of the graph of yx…

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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Question

Use a transformation of the graph of y=x to graph the function.
h(x)=3-(x-2)
Choose the correct graph below.
OA.
Q
O
M
OB.
OC.
O D.
Q

Expert Solution

Step 1: Understanding the graph

$h left parenthesis x right parenthesis equals 3 minus left parenthesis x minus 2 right parenthesis to the power of 4 T o space g e t space h left parenthesis x right parenthesis comma space w e space f i r s t space s h i f t space t h e space g r a p h space y equals x to the power of 4 space r i g h t space b y space 2 space u n i t s. T h e n space r e f l e c t space t h i s space g r a p h space b y space x space a x i s. A n d space t h e n space s h i f t space i t space b y space 3 space u n i t s.$