If a function f(x) translated h unit right, then its image will be f (x - h)
From the attached figures we can see that
The graph of f(x) intersects the y axis at point (0, 1)
But the graph of g(x) does not intersect the y-axis at this point
That means f(x) is translated to the right
The point (0, 1) is changed to (2, 1)
That means f(x) is translated 2 units right
Then subtract x by to
The equation of g(x) should be
The answer is A