Answer:
D) The graph of g would be narrower.
Step-by-step explanation:
[tex]f(x)=x^{2}[/tex]
[tex]g(x)=f(2x)=(2x)^{2}=(2)^{2} \cdot (x)^{2}=4x^{2}[/tex]
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
