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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.
If , then the function is reflected over the y-axis.
If and
, then the function is horizontally compressed.
If and
, 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.
Therefore, based on the transformations explained before, you can notice that the transformation is:
Where
Therefore, the equation of the transformed function is: