Explanation:

- The word FRATERNIZE is coded as TRFEAEINRZ.

- The pattern involves rearranging the original letters.

- PHOTOGRAPH needs rearranging to follow a similar pattern.

- Breaking down PHOTOGRAPH:

- First, we arrange letters by alternating positions or a similar method based on FRATERNIZE.

Now, let's look at the options:

1. TRFAEHAGRP - This doesn't align with any clear rearrangement strategy.

2. THOOPHARPG - Reorders letters but doesn’t match the strategy.

3. TPOOHAGHPR - Matches a consistent alternation in letter arrangement.

4. TOOHPRPHGA - An unrelated sequence to FRATERNIZE method.

The correct pattern for PHOTOGRAPH is closest to option 3, TPOOHAGHPR.