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The graph of \(y=f(x)\) is shown below.

 

The graph of \(y = g(x)\) is shown below.

 

What is \(g(x)\) in terms of \(f(x)\)? For example, if you think \(g(x) = f(x) + 1, \) enter "\(f(x)+1\)", without quotation marks.

 Feb 19, 2020
 #1
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+1

We compress horizontally by a factor of 1/2, then shift to the left by 3/2, so g(x) = f(2x + 3/2).

 Feb 19, 2020
 #2
avatar+109740 
+1

g(x)   is  f(x)   shifted  3/2  units  left  and compressed  by a factor of 2

 

So

 

g(x)  =  f(2x  + 3/2) 

 

 

cool cool cool

 Feb 19, 2020
 #3
avatar+287 
+1

Good job! And, thank you

 Feb 19, 2020

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