I am not sure which specific example of syntax you need to analyze, but your instructor appears to be asking you to analyze the parts of speech or the use of a variety of independent and dependent clauses. If you are looking at a paragraph, it may be that you are being asked to look at the types of sentences that are put together to create that paragraph.
Here is an example of how you could complete your sentence using the following made up sentence: The young man left the dog at the shelter, hoping for the best.
The author's use of syntax in this passage begins with a simple subject (the young man) and follows with the verb and direct object, followed by a prepositional phrase which explains where he left the dog, and ends with a participle phrase which functions as an adjective describing the young man.
If you are being asked to analyze a paragraph, you should look at what types of sentences are being used (simple, compound, compound-complex). You would also want to consider rhetorical strategies such as periodic sentences, antithesis, parallelism, etc.
If you scroll down through the link below you will find other links to a variety of terms associated with a discussion of syntax. This may help you find the appropriate language to complete your assignment.