Question

The function f(x) = x^3 is transformed to f(x) = 4x^3. Which statement describes the graph of the transformed function?

Answer 1

Answer: Option D.

Step-by-step explanation:

The translation is defined as

$g(x)=kf(x)$

Where, k is stretch factor.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

It is given that,

$f(x)=x^3$

After transformation the function becomes

$f(x)=4x^3$

here, k=4>1, so the graph was stretched vertically by a factor of 4.

Therefore, the correct option is D.