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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?

Examine the following graph where Px is the preimage and Ix is the image after a transformationP of X is a cube root function and I of X is the same function tr class=

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Answer:

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:

[tex]f(x)\to f(x-k)[/tex]

Therefore, the function that correctly describes the transformation is:

[tex]I(x)=P(x-4)[/tex]

Option 4 is correct.

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