suppose (-2,3) is on the graph of f(x).what point would be on g(x) if g(x) =-2f(x-3)+1

Answer 1

we know f(-2)=3
x-3 = -2 if x=1
g(1) = -2f(1-3)+1 = -2f(-2)+1 = -2(3)+1 = -5
So, (1,-5) is on the graph of g(x)