The function g(x) = 2^x. The function f(x) = 2^x+k and k < 0.

Question

Which of the following statements is true? A) The graph of f(x) is shifted k units to the left of the graph of g(x). B) The graph of f(x) is shifted k units to the right of the graph of g(x). C) The graph of f(x) is shifted k units above the graph of g(x). D) The graph of f(x) is shifted k units below the graph of g(x).

Answer 1

The k variable represents a vertical shift, so the graph would either move up or down. Since k<0, which means it is negative, this would be a vertical shift down k units or D is the correct answer.