Consider the graphs of f of x is equal to 5 sine open paren 2 x minus pi over 3 close paren minus 9 and g of x is equal to 5 sine open paren 2 x minus pi over 8 close paren minus 9 Which feature of the graph of g of x is different from the graph of f of x ?

Both functions have amplitude 5, period 2π/2 = π, and vertical shift −9. Their phase shifts differ: f(x) = 5 sin(2(x − π/6)) − 9 shifts right by π/6, while g(x) = 5 sin(2(x − π/16)) − 9 shifts right by π/16. Therefore, the phase shift is the feature that is different.

AI-written and checked against the verified answer.