Which statement correctly describes the graph of g(x)=f(x-4)


Answer:
Option (B)
Step-by-step explanation:
From the graph attached,
If the parent function 'f' is shifted 4 units to the right,
g(x) = f(x- 4)
By shifting the parent function right vertical asymptote will come to x = 5 from x = 1.
Vertical asymptote y = 2 will remain same for the shifted function.
Therefore, function g(x) will have the asymptotes;
Vertical asypmtote: x = 5
Horizontal asymptote; y = 2
Therefore, Option (B) will be the correct option.