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Let g(x) be a horizontal shrink by a factor of 2/3, followed by a translation 4 units left of the graph of f(x)=√(6x). Write a rule for g(x) described by the transformations of the graph of f. I thought it was g(x)=√(4x+4) but maybe not, what is the correct answer and why?

 Dec 18, 2016
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Let g(x) be a horizontal shrink by a factor of 2/3, followed by a translation 4 units left of the graph of f(x)=√(6x). Write a rule for g(x) described by the transformations of the graph of f. I thought it was g(x)=√(4x+4) but maybe not, what is the correct answer and why?

 

f(x)=6xNow shrink this by a factor of 2/3u(x)=236xNow move the graph 4 units in the negative directiong(x)=236(x+4)

 

 

Here are the graphs

They go     green, orange, red   (just like trapffic lights)

 

https://www.desmos.com/calculator/xndxrxb8uy

 

It will make your life easier, mathematically speaking, if you get these transformations all sorted in your head.

 

If you want, ask more questions about how it works :))

 Dec 18, 2016

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