function problem

Question

If the graph of the function g(x) passes through the point (8,-3), then through which point does the graph of -g(x-4)-6 pass?

Answer 1

Knowing only one fact about g(x) limits your options.

 

since all you know is g(8) = -3, 

the only value x for g(x-4) for which you have info is x = 12

 

-g(12-4) - 6 =

-(-3) - 6 = 3 - 6 = -3

 

so, the only point you know is on the second curve is (12, -3).