Question

Given the parent function of f(x) = x3, what change will occur when the function is changed to f(x + 3)? Shift to the right 3 units Shift to the left 3 units Shift up 3 units Shift down 3 units

Answer 1

To the right 3 units

Answer 2

f(x) will shift right by 3 units.

First option is correct.

Explanation:

The parent function is
`f(x)=x^3`

Now, the function after transformation is f(x+3)

Rule of transformation:- When we add some constant 'c' in x then the function will shift right by 'c' units.

Here 3 is being added in x in the parent function f(x) to get f(x+3)

So, c = 3

Hence, f(x) will shift right by 3 units.

First option is correct.