[subject] + 可 + [adjective] + 了 / 呢
[subject] + 可 + 别 / 不能 / 要 + [verb]
[subject] + 可 + [verb] + 了
可 before an adjective means "really, so", with feeling behind it. It is spoken, and the sentence usually closes with 了 or 呢.
Without 了 or 呢, 这儿可热 sounds cut off.
Before 别, 要 or 不能, 可 turns a request into a firm reminder: "make sure you…", "whatever you do, don't…".
可不 and 可没 make a denial sharper: "it's certainly not", "I definitely didn't".
可 + verb + 了 greets something you've been waiting for.
可 is the degree word, so 很 or 非常 can't join it.
可 alone can also be short for 可是, "but", at the start of a clause. That 可 joins clauses; the emphatic 可 sits inside one.