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, the value of k is ________.

Answer 1

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

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

Answer 2

the value of k is 7.