Answer:
Option C.
Step-by-step explanation:
The given parent function is
The horizontally compressed and horizontally stretched is defined by the function
If b>1, then function f(x) horizontally compressed by a factor of b.
If 0<b<1, then function f(x) horizontally stretched by a factor of b.
If , then graph of f(x) reflected over the x-axis.
The transformed function is
It means the parent function is horizontally compressed by a factor of 3 and reflected over the x-axis.
Therefore, the correct option is C.