The answer is the option A, which is: A. [tex]G(x)= \frac{1}{4}|x|[/tex]
The explanation for this problem is shown below:
1. The compressing of this functions is defined by the function [tex] y=a|x| [/tex]
Where [tex] a [/tex] is the constant and it must be: [tex] a<1 [/tex]
2. As you can see, the only constant that is less than one is the constant of the first function [tex] G(x)=\frac{1}{4}|x| [/tex], where [tex] a=\frac{1}{4} [/tex]
