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Write a function g in terms of f so that the statement is true. The graph of g is a vertical stretch by a factor of 4 of the graph of f. g(x)=

 Oct 28, 2019
 #1
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g(x) =  4 f(x)

 Oct 28, 2019
 #2
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g(x)  =  4 * f(x)

 

We multiply all the y-values by  4

 

Here is an example to maybe help you see why this is:

 

Let's let      \(f(x)=\sqrt{x}\)      and so      \(g(x)=4\sqrt{x}\)

 

Here is a table of points on the graph of  f(x)  and a graph to go with it:

 

 

 

And here is a table of points on the graph of  g(x)  and a graph to go with it:

 

 

Notice that all the y-coordinates of the graph of g(x) are 4 times that of f(x)

 

We can call this "a vertical strech by a factor of 4"

 

Here are the two graphs together:

 

https://www.desmos.com/calculator/5joztmvlwt

 Oct 28, 2019
edited by hectictar  Oct 29, 2019

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