Answer: OPTION D.
Step-by-step explanation:
 Below are some transformations for a function f(x):
 If  , then the function is reflected over the x-axis.
, then the function is reflected over the x-axis.
 If  , then the function is reflected over the y-axis.
, then the function is reflected over the y-axis.
 If  and
  and  , then the function is horizontally compressed.
, then the function is horizontally compressed.
 If   and
  and  , then the function is horizontally stretched.
, then the function is horizontally stretched.
 In this case you know that the parent function is:
 
 According to the information given in the exercise, the parent function IS horizontally stretched by a factor of  and it is also reflected over the y-axis.
 and it is also reflected over the y-axis.
 Therefore, based on the transformations explained before, you can notice that the transformation is:
  
 
 Where 
 Therefore, the equation of the transformed function is:
 