Answer:
[tex]y=4x^{3}[/tex]
Step-by-step explanation:
It is known that,
'Vertical stretch, stretches the function up and down towards the y-axis'.
The general form of vertical stretch is given by 'kf(x)', where k>1 is the factor by which function is stretched.
As, we have the function [tex]y=x^{3}[/tex] which is stretched by a factor of 4.
Thus, the new function will be [tex]y=4x^{3}[/tex].
Hence, the equation for the vertical stretch is [tex]y=4x^{3}[/tex].