I cannot really tell you what your teacher means by assigning an analysis, but I can give you some thoughts about this topic as it is discussed in the book.
What you could do is think about how ignorant most of the society is in this book. People like Mrs. Montag never think about anything and they do not learn anything either. They are constantly immersed in the "families" in the parlour walls, or in sports, or in doing violent things to others, or other forms of entertainment like that.
Then, you could talk about how you think ignorance affects people and how knowledge would improve their lives (if you think it would).
Fahrenheit 451 is a literary and topical treatment of the hindering of "the right" to freedom of speech, in a nutshell - censoring people's right to know.
The word out is that "knowledge" gives you access to everything and that "ignorance" gives you access to nothing. This is in direct opposition to the belief that "ignorance is bliss."
With that thought in mind, people use the words "knowledge is power." In Fahrenheit 451, it is the application of knowledge that is shown to give people power.
The protagonist in this story soon learns that blind obedience, without knowing the reason and the source of instilled automated hatred (ignorance on his part), is not only hindering others, but may also be stifling himself from learning what he needs to know in order to be independent and to think for himself.
He discovers that he can no longer turn a "blind eye" (of ignorance) to the need to know for himself, and/or to keep others from knowing, or from having the knowledge that it will take for them to create their own existence by will and choice intead of by blind obedience to the ruling "other."