Question

The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 3 units, the value of k is ________.

Numerical Answers Expected!

Answer 1

The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 3 units, the value of k is 3

Answer 2

If k>0, then the graph of the function g(x) = (0.5)x − k is obtained from the graph of the function f(x) = (0.5)x by translation k units down.

Since g(x) is obtained by shifting f(x) down by 3 units, the value of k is 3.

Answer: k=3.