Solve for Point Corresponding to P=(-2,4) on g(x) Using f(x) and g(x)=2f(x-1)-3

[Skydog287]

How do i solve this? The question says: Given that the point P=(-2,4) is on the graph of y=f(x) and g(x)=2f(x-1)-3; find the point on the graph of g(x) corresponding to the point P.

Thanks in advance,
Sky

 

[cepheid]

Hint: Another way of saying that the point P (-2,4) is on the graph of y = f(x) is to say:

f(-2) = 4

g(x) scales and shifts the graph of f(x)

 

[HallsofIvy]

What, exactly, is meant by "the point on the graph of g(x) corresponding to the point P"?