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,

Question

MAXImum [283]

4 years ago

14

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,

the value of k is ________.

Mathematics

2 answers:

pshichka [43] · Answer 1 · 2021-12-21T15:56:24+03:00

pshichka [43]4 years ago

8 0

The value of k is 7.

ankoles [38] · Answer 2 · 2021-12-21T17:03:33+03:00

Answer:

k=7, g(x) = (0.5)x-7

Step-by-step explanation:

If g(x) is obtained by shifting down f(x) by 7 units, and f(x) passes through the origin (0,0) g(x) at the same instant passes through the same instant at point (0,-7).

So f(x) =(2,1), (4,2),....

g(x) = (2,-6), ( 4,-5),....

And so on

Also, as K is the Linear if ti shifts down the line intercepts y-axis some units down. Since it is 7 units down for the y coordinate we can affirm g(x) =0.5 -k equals g(x)=0.5x -7