What this suffix does
The suffix -est forms the superlative of short adjectives (one or two syllables). It is equivalent to "el/la más + adjective" in Spanish. From "tall" you get "the tallest"; from "fast" you get "the fastest".
The superlative is always preceded by "the": "She is the tallest in the class." Without "the" the superlative sounds unnatural in English.
-est vs "most": the same rule as the comparative
The rule is identical to the comparative (-er vs "more"):
Short adjectives (1-2 syllables): add -est. tall → the tallest, fast → the fastest, big → the biggest.
Long adjectives (3 or more syllables): use "most". beautiful → the most beautiful, important → the most important.
Irregulars: good → the best (not "the goodest"), bad → the worst, far → the farthest/furthest.
The same spelling rules as -er
The same three spelling rules from the comparative apply to the superlative:
1. Consonant-vowel-consonant: double the final consonant. big → the biggest, hot → the hottest.
2. Ends in silent -e: just add -st. large → the largest, nice → the nicest.
3. Ends in -y after a consonant: -y → -i + est. happy → the happiest, easy → the easiest.