The floor function is the function that takes as input a real number x and gives as output the greatest integer less than or equal to x
Then it shapes like a stairs
Its starting points are black circles and its ending points are empty circles
The middle one is a line of length 1 unit starting from 0 to 1 [(0, 0), (1, 0)]
Since g(x) = f(x + 1)
That means we will move f(x) 1 unit to the left (subtract x-coordinate by 1)
Then the points (0, 0) [black point] and (1, 0) [empty point] will change to (-1, 0) [black point] and (0, 0) [empty point]
Let us look at these graphs and find the correct one
This is the correct answer because
It has a black circle at (-1, 0) and an empty circle at (0, 0)
This is the original figure of the floor function f(x)
Then when we translate it 1 unit to the left, every black point will move 1 unit to the left
Then the point (0, 0) will be (-1, 0) and the point (1, 0) will be (0, 0), then the correct option should be