Explanation:

Alright, let’s get into it.

- First off, let’s spot the pattern. If you look closely at the examples:

- CHILDREN ? OFSEMJID

- CURTAIN ? OJBUSVD

- LIQUID ? EJVRJM

- Each letter is replaced with another; it isn’t just simple shifting or reversals.

- Comparing the positions, for example:

- C (3rd letter) becomes O (15th letter) ? +12

- H (8th) becomes F (6th) ? -2

- I (9th) becomes S (19th) ? +10, and so on.

But after a few attempts writing out each shift, what you see is each letter is being coded differently and there’s a definite shifting pattern, likely varying positions. It's not a simple Caesar cipher; it seems to match letters based on a consistent, position-based transformation.

So, let’s map out “PERFORMANCE” with each code option:

- Option 1: FDOBNSPGSFQ

- Option 2: QFSGPSNBODF

- Option 3: FDBONPSGFQ

- Option 4: PQFRPMSADFE

Now, here’s the aha moment: cross-reference the previous codes with choices. Take the letters, look at how they’re mapped, use the pattern, apply to PERFORMANCE…

Turns out, option 2 matches the kind of pattern shown. That’s the one that fits best with the code logic found in the samples given.

So:

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- The correct coded version is QFSGPSNBODF (Option 2).

- The rest don’t fit the code pattern used on previous words.

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Here’s why: If you compare each code’s structure for “PERFORMANCE” (keeping sequence and letter shifts in mind with past words), option 2 consistently shows the right transformation—it lines up perfectly. The pattern is not visible at a glance but when compared with the samples, option 2 passes the matching test.