Answer:
Option 1 is correct.
Step-by-step explanation:
Given graph of f(x)=6 sin(2x + π) - 5
we have to tell in what direction the graph vertically and horizontally shifted.
As, f(x+1) is a change on the inside of function, giving a horizontal shift left by 1, and the subtraction by 3 in f(x+1)-3 is a change to the outside of function, giving a vertical shift down by 3.
Hence, the graph of f(x)=6sin(2x + π) - 5
Here, change on the inside of function, giving a horizontal shift left by [tex]\frac{\pi}{2}[/tex], and subtraction by 5 in function is a change to the outside of function, giving a vertical shift down by 5.
Option 1 is correct.
