Question

Examine the following graph, where P(x) is the preimage and I(x) is the image after a transformation.P of X is a cube root function and I of X is the same function translated 4 units to the right.Which function correctly describes the transformation?

Answer 1

I(x)=P(x-4)

Explanation:

The graph of I(x) is obtained by translating P(x) 4 units to the right.

If a function f(x) is translated by k units to the right, the transformation rule is:

`f(x)\to f(x-k)`

Therefore, the function that correctly describes the transformation is:

`I(x)=P(x-4)`

Option 4 is correct.