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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

g(x) =  4 f(x)

 Oct 28, 2019

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:



 Oct 28, 2019
edited by hectictar  Oct 29, 2019

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