I checked a corpus and found that the verb "prepare" is used in publications twice as often as the words cook and make.
I was surprised to see that prepare is used more often than cook and make, but I was even more surprised to see that make is used approximately 15% more often than cook.
I would have thought that cook was the most frequently used verb but in fact, the most frequently used of the three verbs was prepare and cook was the least often used.