g(x) = 1/2 |x − 2| − 5   (a) Identify the parent function f. f(x) = (b) Describe the sequence of transformations from f to g. (Select all that apply.) vertical shrink vertical shift of 5 units upward horizontal shrink vertical shift of 5 units downward

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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g(x) = 1/2 |x − 2| − 5
 
(a) Identify the parent function f.
f(x) =
(b) Describe the sequence of transformations from f to g. (Select all that apply.)
vertical shrink
vertical shift of 5 units upward
horizontal shrink
vertical shift of 5 units downward
horizontal shift of 2 units to the right
horizontal shift of 2 units to the left
Expert Solution
Step 1

Parent function:

   The parent function is the basic equation where the function is free

from any transformation.

(a). Given, 

                   g(x)=12x-2-5.

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