The graph of g (x) results when the graph of f (x) = - [x] is shifted 4 units to the right.

Which equation is the equation of g (x) ?

A. g (x) = - [x + 4]

B. g (x) = - 4 [x]

C. g (x) = - [x - 4]

D. g (x) = - [x] + 4

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].