Question

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)? A. It is the graph of f(x) translated 11 units to the left. B. It is the graph of f(x) where the slope is increased by 11. C. It is the graph of f(x) translated 11 units up. D. It is the graph of f(x) translated 11 units to the right.

Answer 1

A transformation like

$g(x) = f(x+k)$

means that the graph of g(x) is the graph of f(x) horizontally translated. In particular, the graph is translated k units to the right if k<0, and k units to the left if k>0.

So, in your case, the graph of g(x) is the graph of f(x) translated 11 units to the right.