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)=

Guest Oct 28, 2019

#2**+1 **

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:

hectictar Oct 28, 2019