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,

Question

maw [93]

2 years ago

10

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 ________.

Mathematics

1 answer:

raketka [301] · Answer 1 · 2022-03-06T05:45:50+03:00

5. The value of k is the same of b in the original linear equation formula (y=mx+b). The b (or k here) changes where the equation itself fits on the graph. If a +0 is replaced with a -5, then the equation is shifted down by five units. I've graphed it below for you (where f(x) is in red and g(x) is in blue). Hope this helps!