[i-adj] + [noun] [i-adj] + です [i-adj 〜い → 〜くない] (negative) [i-adj 〜い → 〜かった] (past) [i-adj 〜い → 〜くなかった] (past negative) [i-adj 〜い → 〜くて] (and)
An い-adjective is a describing word that ends in い: たかい高い (expensive), おおきい大きい (big), あたらしい新しい (new). It goes straight in front of the noun it describes, with nothing in between, or ends the sentence with です after it for politeness.
To make the negative or the past, drop the final い and add the ending. です after it keeps the sentence polite and never changes itself.
The endings that belong to nouns do not go on an い-adjective. The adjective itself changes, and です stays as it is.
A few words end in the sound い but are な-adjectives: きれい (pretty, clean), きらい嫌い (disliked), ゆうめい有名 (famous). They take な in front of a noun and never くない.
These go beyond the four polite forms.
In casual speech an い-adjective ends the sentence with nothing after it. It does not take だ: ×暑いだ.