Question

Given the parent function of f(x) = x3, what change will occur when the function is changed to f(x) − 3?

Answer 1

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

$f (x) = x ^ 3$

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:

$y = f (x) - 3\\y = x ^ 3 - 3$

Answer:

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

Vertical displacement 3 units down.

Answer 2

The function line will move down 3 units.