The graph of the function f(x) = x2 is shown. Compared to this, how would the graph of a function g appear, if g(x) = f(2x)?
please answer ASAP.
A) The graph of g would reflect in the line x = 2.
B) The graph of g would be wider.
C) The graph of g would shift 2 units up.
D) The graph of g would be narrower.
You have to make a rough graph to check the results of transformation. For that graph of both [tex]x^{2}[/tex] and [tex]4x^{2}[/tex] is attached with the answer.
For thinking like that, just see that in the [tex]4x^{2}[/tex] as compared to [tex]x^{2}[/tex], you are multiplying each value by 4, it means you are increasing each the value so every point should move up by a factor of 4. But one point is fixed which is the bottom point as its value is zero initially and after multiplying it by 4 it won't change as 0×4=0. So graph will become narrow
