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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!

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frika
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.

MrGeekBrain

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