Step 1 :The graph of function f is translated a whole number of units horizontally and vertically to obtain the graph of function k.
Step 2 :The function f is defined by \(f(x)=-|x|\).
Step 3 :The expression for k(x) is \(k(x) = -|x-h| + v\).
Step 4 :Here, h represents the horizontal shift and v represents the vertical shift.
Step 5 :Final Answer: \(\boxed{k(x) = -|x-h| + v}\)