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 5 units, the value of k is ________.

Answer 1

Answer: The value of k is 5 units.

Step-by-step explanation:

Since we have given that

The graph of f(x)=0.5x is replaced by the graph of g(x) = 0.5x-k

If g(x) is obtained by shifting f(x) down by 5 units,

Then the graph of f(x) = 0.5x is replaced by the graph of g(x) = 0.5x-5

Hence, k = 5 units

Therefore, the value of k is 5 units.

Answer 2

G(x) = (0.5)x -k
       = f(x) - k , means g(x) is obtained when  f(x) is shifted by k units
     given f(x) is shifted by 5 units , 
so k= 5