describe how to obtain the graph of the transformed function below from its parent function.

Answer:
shifted horizontally to the right 4 units, then stretched vertically by a factor of "3" , and finally shifted vertically up 6 units.
Step-by-step explanation:
Given the function
[tex]f(x)=\frac{3}{x-4} +6[/tex]
we can say that its parent function
[tex]f(x)=\frac{1}{x}[/tex]
was:
shifted horizontally to the right 4 units (given by the 4 units subtracted from the variable x)
stretched vertically by a factor of "3"
and finally shifted vertically up 6 units.