Given is a function f(x) and function g(x) is formed when f(x) is shifted 4 units to the right.
Since the transformation is on x-axis, so it would be g(x)= f(x+k).
Positive values of k shifts the original graph to the left and Negative values of the k shifts the original graph to the right.
'4 units to the right' means k = -4.
So, it would be g(x) = f(x-4).
Given f(x) = -[x]
Therefore g(x) = f(x-4) = -[x-4]
Hence, option C is correct i.e. g(x) = - [x - 4].
