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Hello !! DOUBT : This much i know that to transform f(x) --> f(ax), we have to shrink the graph of f(x) by a units(if a>1) but even after knowing it im not able to understand how to obtain the graph of |2x| from |x| i mean how to shrink the graph of |x| by 2 units? see sin x could be shrinked as the period of sinx is 2 pie so the period of sin 2x becomes pie, but any such thing could not be done in |x| so how to obtain |2x| please explain. expecting the answer from the one who knows it correctly. EAGERLY WAITING FOR YOUR REPLY..........................

Hello !!


DOUBT :


This much i know that to transform f(x) --> f(ax), we have to shrink the graph of f(x) by a units(if a>1) but even after knowing it im not able to understand how to obtain the graph of |2x| from |x| i mean how to shrink the graph of |x| by 2 units?


see sin x could be shrinked as the period of sinx is 2 pie so the period of sin 2x becomes pie, but any such thing could not be done in |x| so how to obtain |2x| please explain.


expecting the answer from the one who knows it correctly.


EAGERLY WAITING FOR YOUR REPLY..........................

Grade:12th pass

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
8 years ago
see
we are dealing with f(|x|) and f(|2x|)
if we see|2x|=2*|x|
so f(|2x|)=f(2|x|)
now since its a |x|
so we dont have to worry about negative side
so again it we have to shrink the graph by 2 units

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