The graph of f(x) has been reflected across the y-axis and stretched by a factor of 2 , Option E is the correct answer.
A function is a law that relates a dependent and an independent variable.
It is given that f(x) = x³
g(x) = -2x³
When a function is reflected along an axis , the coordinate of that axis remains the same but the coordinate of the other axis becomes negative
So, if x coordinate is transformed to -ve of the parent function , The function is reflected along y axis.
As there is 2 in front of the parent function ,
f'(x) = a f(x) , represents vertical stretch when a >1
Therefore The graph of f(x) has been reflected across the y-axis and stretched by a factor of 2 , Option E is the correct answer.
To know more about Function
https://brainly.com/question/12431044
#SPJ1