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using translation,reflection,dilations.contractions, determine the function of 3-f(4x)

Guest Nov 29, 2014

Best Answer 

 #1
avatar+92781 
+5

g(x)=3-f(4x)

using translation,reflection,dilations.contractions,

 

Well it would  be contracted to one quarter its original width.

Then it would be reflected about the x axis. That is reflected about y=0

Then the whole graph would be translated upwards 3 units.

 

Here are a couple of examples:

https://www.desmos.com/calculator/egeybmykil

https://www.desmos.com/calculator/0r2zgjpqul

 

Understanding this type of thing is key to being able to draw graphs yourself.

This is how I would always free hand draw any complicated graph - I'd build it up in stages like this.  

Melody  Nov 30, 2014
 #1
avatar+92781 
+5
Best Answer

g(x)=3-f(4x)

using translation,reflection,dilations.contractions,

 

Well it would  be contracted to one quarter its original width.

Then it would be reflected about the x axis. That is reflected about y=0

Then the whole graph would be translated upwards 3 units.

 

Here are a couple of examples:

https://www.desmos.com/calculator/egeybmykil

https://www.desmos.com/calculator/0r2zgjpqul

 

Understanding this type of thing is key to being able to draw graphs yourself.

This is how I would always free hand draw any complicated graph - I'd build it up in stages like this.  

Melody  Nov 30, 2014

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