Question

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

If g(x) = f(2x), determine the location of this point on the graph of function g.

(_,_)

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)