Question

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

Answer 1

the function line will move down 3 units.

Answer 2

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

`image`

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:

`image`

Answer:

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

Vertical displacement 3 units down.