How does the graph of f(x) =-3^2x-4 differ from the graph of g(x)=-3^2x

with that template in mind, let's check,



notice, g(x) has a horizontal shift of C/B or +0/2, or just 0, none.

while f(x) has a horizontal shift of C/B or -4/2, or -2, to the right.

so f(x) is really just g(x), but shifted horizontally over 2 units to the right.