How to find the range of the function

Question

y=5+3sin(2(x+pi))

Answer 1

y = 3sin (2(x + π) + 5

 

The range of the sine function is -1 to 1.

This equation has an amplitude of 3, therefore the range is from -3 to 3.

The graph has been shifted up 5 units, therefore the range is from 2 to 8.