Respuesta :

the function line will move down 3 units.

For this case we have that the main function is given by:

[tex] f (x) = x ^ 3
[/tex]

We apply the following transformation:

Vertical displacements:

Assume k> 0

To graph y = f (x) - k, move the graph k units down.

For k = 3 we have:

[tex] y = f (x) - 3

y = x ^ 3 - 3
[/tex]

Answer:

when the function is changed to f (x) - 3 the change that will occur is:

Vertical displacement 3 units down.