In what direction and by how many units is the graph of f(x) = 6 sin(2x + π) − 5 vertically and horizontally shifted?

down 5, left pi over 2
up 5, left pi over 2
down 5, right pi over 2
up 5, right pi over 2

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 , 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.

answer: options?

step-by-step explanation: