Question

Which statement correctly describes the graph of g(x) if g(x) = f(x-11)?Select the correct answer.Each statement describes a transformation of the graph of f(x)=OA It is the graph of fx) where the slope is increased by 11.OB. It is the graph of fx translated 11 units to the right.OC. It is the graph of fx) translated 11 units up.OD. It is the graph of fx) translated 11 units to the left.

Answer 1

B. It is the graph of f(x) translated 11 units to the right.

Explanation:

Given the graph of the function:

`y=f(x)`

If f(x) is translated by k units to the right, the transformation rule is:

`f(x)\to f(x-k)`

Let k=11

`g(x)=f(x-11)`

Thus, g(x) is the graph of f(x) translated 11 units to the right.

Option B is correct.