Explanation:
The past participle form of the verb "shake" is "shaken".

Rules for forming the past participle:
1. For regular verbs, the past participle is formed by adding "-ed" to the base form of the verb. For example, "walk" becomes "walked", "talk" becomes "talked".
2. For irregular verbs, the past participle form is formed differently and does not follow a set pattern. These forms must be memorized. For example, "go" becomes "gone", "eat" becomes "eaten".

Explanation of the options:
a) Shake: This is the base form of the verb and does not indicate past tense or past participle form.
b) Shaked: This is an incorrect form of the verb. The correct past tense form of "shake" is "shook", but the question asks for the past participle form.
c) Shook: This is the past tense form of the verb, not the past participle form.
d) Shaken: This is the correct past participle form of the verb "shake". It is formed by adding "-en" to the base form "shake". The past participle form is used in perfect tenses and passive voice constructions.

Example sentences:
1. I have shaken the bottle to mix the ingredients.
2. The earthquake has shaken the entire city.
3. The experience has left me shaken.

Summary:
The correct past participle form of the verb "shake" is "shaken". It is formed by adding "-en" to the base form "shake". The past participle form is used in perfect tenses and passive voice constructions.