Answer:
D. The domain but not the range of the transformed function is the same as that of the parent function.
Step-by-step explanation:
We are given,
The function is reflected across x-axis, which gives .
And then the function is translated to the right by 6 units, which gives .
Thus, the transformed function is
So, from the graph shown below, we get,
Domain of both the functions f(x) and g(x) is set of all real numbers.
Range of f(x) is .
But, Range of g(x) is .
Hence, the correct option is,
D. The domain but not the range of the transformed function is the same as that of the parent function.