Answer:
Option C
Step-by-step explanation:
The parent function is given as
[tex]G(x) = {x}^{3} [/tex]
From the G(x) has been shifted down 2 units and stretched vertically by a factor of 5.
The new function expressed in terms of the parent function is now of the form:
[tex]F(x)=5G(x)-2[/tex]
We substitute for G(x) to obtain:
[tex]F(x)=5 {x}^{3} -2[/tex]
The correct answer is option C.
