How does changing the function from f(x) = −5 cos 2x to g(x) = −5 cos 2x − 3 affect the range of the function?

The function shifts down 3 units, so the range changes from −1 to 1 in f(x) to −4 to −2 in g(x).
The function shifts down 3 units, so the range changes from −5 to 5 in f(x) to −8 to 2 in g(x).
The function shifts down 5 units, so the range changes from −1 to 1 in f(x) to −6 to −4 in g(x).
The function shifts down 5 units, so the range changes from −5 to 5 in f(x) to −10 to 0 in g(x).

Question

How does changing the function from f(x) = −5 cos 2x to g(x) = −5 cos 2x − 3 affect the range of the function?

 The function shifts down 3 units, so the range changes from −1 to 1 in f(x) to −4 to −2 in g(x).
 The function shifts down 3 units, so the range changes from −5 to 5 in f(x) to −8 to 2 in g(x).
 The function shifts down 5 units, so the range changes from −1 to 1 in f(x) to −6 to −4 in g(x).
 The function shifts down 5 units, so the range changes from −5 to 5 in f(x) to −10 to 0 in g(x).

anonymous · Answer

I think it's B @welshfella

anonymous · Answer

@StudyGurl14

studygurl14 · Answer

Well, you automatically know that it has to shift down 3 units, so C and D are out.

studygurl14 · Answer

The easiest thing would be to graph it to find out the rest. REmember that range is the y values of the function

anonymous · Answer

Yeah, I got that far. That's why I said B:) Was that right?

welshfella · Answer

yes the range of the second function is -8 to 2
each  number -5 and 5 is reduced by 3

welshfella · Answer

B is correct

anonymous · Answer

Thanks!