The graph of y fx is shown at the left and the graph of y

The graph of y = f(x) is shown at the left and the graph of y = g(x) is shown at the right. (No formulas are given.) What is the relationship between g(x) and f(x)? g(x) = f(x+ 1)-2 g(x) = f(x-1)-2 g(x)=f(x+1)-1 g(x)=f(.x + 2) + 2

Solution

it is option B)

g(x) = f(x-1) -2

plug x=0 then we get

g(0)= f(0-1) -2 now from graphs

2 = f(-1)-2

2 = 4-2

2=2

true so relation ship is

g(x) = f(x-1) -2