
gefärbt
dyed
Provided with color; having received a different color from the original one. Often refers to hair or textiles.
Sie trägt eine Bluse aus blau gefärbter Seide.
She is wearing a blouse made of blue-dyed silk.
dyed / biased
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dyed
Provided with color; having received a different color from the original one. Often refers to hair or textiles.
Sie trägt eine Bluse aus blau gefärbter Seide.
She is wearing a blouse made of blue-dyed silk.

biased / colored
In a figurative sense: influenced by a particular opinion, emotion, or perspective and therefore not neutral or objective.
Seine Darstellung der Ereignisse war stark politisch gefärbt und wenig objektiv.
His account of the events was strongly politically biased and not very objective.
The word 'gefärbt' (dyed) is the past participle of the verb 'färben' (to dye/color). It is used like an adjective to describe a noun that has received color.
Mir gefallen deine frisch gefärbten Haare.
I like your freshly dyed hair.
You can recognize the figurative meaning 'biased' from the context. If 'gefärbt' (biased/colored) refers to abstract nouns like 'Meinung' (opinion), 'Bericht' (report), or 'Darstellung' (account/portrayal), the figurative meaning is intended. With concrete things like 'Haare' (hair) or 'Stoff' (fabric), it is about literal color.
Sein Bericht über den Vorfall war sehr emotional gefärbt.
His report about the incident was very emotionally colored.
In the figurative meaning, 'gefärbt' (biased/colored) is often specified more precisely by an adverb. Common combinations are 'politisch gefärbt' (politically biased), 'emotional gefärbt' (emotionally colored), or 'subjektiv gefärbt' (subjectively biased).
Die Diskussion war leider sehr ideologisch gefärbt.
Unfortunately, the discussion was very ideologically biased.
In the literal meaning, 'gefärbt' (dyed/colored) often describes hair, textiles, or other materials. Typical nouns are 'Haare' (hair), 'Wimpern' (eyelashes), 'Stoff' (fabric), 'Leder' (leather), or 'Glas' (glass).
Die Künstlerin verwendet oft bunt gefärbtes Glas für ihre Fenster.
The artist often uses brightly colored glass for her windows.
subjective
Subjektiv and gefärbt can both describe a non-neutral presentation. Subjektiv generally emphasizes that it is based on personal perception or opinion. Gefärbt more specifically points to the influence of a particular attitude, perspective, or emotion.

Ihr Bericht über das Gespräch ist deutlich von ihrer Enttäuschung gefärbt.
Her account of the conversation is clearly colored by her disappointment.
Ihr Bericht über das Gespräch ist eine subjektive Darstellung ihrer eigenen Eindrücke.
Her account of the conversation is a subjective presentation of her own impressions.