If f(x) = x^3 and g(x) = -2x^3, how has f(x) been transformed to get g(x)?

a.The graph of f(x) has been reflected across the x-axis and shifted up 2 places

b.The graph of f(x) has been reflected across the y-axis and shifted down 2 places

c.The graph of f(x) has been reflected across the x-axis and shifted left 2 places

d.The graph of f(x) has been reflected across the y-axis and shifted right 2 places

e.The graph of f(x) has been reflected across the y-axis and stretched by a factor of 2

Respuesta :

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.

What is a Function ?

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