Let us describe the transformation of the given absolute value function.
![y=-3|x-2|](https://img.qammunity.org/2023/formulas/mathematics/college/1ebhkdmh89dniiwwsmkhn0l2nj5z4aixoz.png)
Please note that the parent absolute value function is given by
![y=|x|](https://img.qammunity.org/2023/formulas/mathematics/high-school/kh4fxxxmq7kz0zee8nw3v9dd6pk64iltp6.png)
1. The given absolute value function is horizontally translated by 2 units (negative sign means to the right)
2. The given absolute value function is reflected over the x-axis (since the whole function is being multiplied by negative)
3. The given absolute value function is dilated by a scaling factor of 3 (the whole function is multiplied by 3)
Therefore, these are the transformations applied to the given absolute value function.
Just for understanding, The graphs of the parent function and the transformed function are given below.
The graph in red color is the parent function and the graph in the green color is the given transformed function.
As you can see, it is shifted to the right by 2 units, reflected across the x-axis, and also dilated by a factor of 3.