い-adjectives
The final い is part of the adjective and changes for negative and past forms.
non-past +高いです
non-past −高くないです
past +高かったです
past −高くなかったです
Before a noun高い店
Reference shelf
First decide whether an adjective belongs to the い or な family. That single choice tells you how it changes and how it sits before a noun.
い-adjectives
Before a noun高い店
な-adjectives
Before a noun静かな店
A useful exception to English instinct
好き, きらい, 上手, and 下手 are な-adjectives. The liked or skilled-at thing is marked by が.
Before a noun好きな食べ物