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 7 units, then what is the value of k?
k equals one seventh
k equals negative one seventh
k = 7
k = −7

Answer 1

Answer:

C. k = 7

Step-by-step explanation:

Answer 2

Answer:

Third option:  $k=7$

Step-by-step explanation:

Below are shown two transformations for a function f(x):

If $f(x)+k$, the function is shifted up "k" units.

If $f(x)-k$, the function is shifted down "k" units.

In this exercise you know that the function g(x) is obtained by shifting down  the function f(x) 7 units.

Then, given the function f(x):

$f(x) = (0.5)^x$

You can determine (based on the transformations explained before) that the function g(x) is:

$g(x) = (0.5)^x-7$

Therefore, you can identify that the value of "k" is:

$k=7$