Question

Point A is at (4,5) and lies on the graph of quadratic function f.

Answer 1

We know that

g(x)=f(2x)
the transformation of f(x) to------------> f(2x)

means that point  (a,b) in graph of  f(x) becomes a point  (a/2,b) in graph of f(2x)

therefore
point A  (4,5)-----> becomes a point (4/2,5)-----> (2,5) in the graph of g(x)

the answer  
the point is (2,5)