Again. I am clueless. I respectfully request help.

g(x) =  4 f(x)

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