circular functions

Question

The range of the function defined by 𝑦 = −5 sin ( 𝑥 − π/6 ) −2  is:

Answer 1

the sine range would normally be -1 to 1

but the -2 shifts it down by 2 to a range of (-1-2) to (1-2) or -3 to -1

but then the -5 amplitude changes that to 15 to 5 or 5 to 15

range of y is 5 < y < 15 or the interval [5,15]

the pi/6 affect the period and frequency, but not the range