The answer is the option A, which is: A.
![G(x)= (1)/(4)|x|](https://img.qammunity.org/2019/formulas/mathematics/middle-school/fu6zarr13kokb8hum2odfm5kz9rfzgu3xt.png)
The explanation for this problem is shown below:
1. The compressing of this functions is defined by the function
![y=a|x|](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9j8ot4c0c4l0z1tuhcpgr0dxab58a111g5.png)
Where
is the constant and it must be:
![a<1](https://img.qammunity.org/2019/formulas/mathematics/middle-school/gh7qe8uz8fxbufa04iv56tj1udhqwavlit.png)
2. As you can see, the only constant that is less than one is the constant of the first function
, where
![a=(1)/(4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/5wripi5g5jo3bxl7t2ziqi6j1xqd69uky5.png)