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 2 units, the value of k is ________. Numerical Answers Expected!

Answer 1

To shift a graph down by two units, -2 must beg added to the function.

Since g(x)=0.5x-k already, k=2, because it is already specified that the constant will be subtracted.

Answer 2

Answer: The value of k is 2.

Step-by-step explanation:

Given : 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 2 units, then $g(x)=(0.5)-2$

[since f(x)shifted down down by 2 , so only the value of dependent variable effect]

When we compare both functions of g(x), we found that k=2.

Hence, the value of k is 2.