From the root f-t-ḥ, these forms differ:
Word / formMeaning / explanation
فَتْحٌan opening/conquest: verbal noun.
فَاتِحٌone who opens: active participle.
مِفْتَاحٌan implement for opening: instrument noun.
The passive participle مَفْتُوحٌ has another meaning: something opened.
The root supplies a core action; patterns specify different relationships to that action: process, agent, patient and implement.