rosig
rosy
In a figurative sense: very positive, promising, and optimistic.
Dank der neuen Aufträge sieht die Zukunft des Unternehmens wieder rosig aus.
Thanks to the new orders, the company's future looks rosy again.

rosy
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rosy
In a figurative sense: very positive, promising, and optimistic.
Dank der neuen Aufträge sieht die Zukunft des Unternehmens wieder rosig aus.
Thanks to the new orders, the company's future looks rosy again.

The adjective 'rosig' (rosy) is derived from 'die Rose' (the rose). It connects the flower's delicate red color with the positive idea associated with roses.
Ihre Haut hat einen gesunden, rosigen Schimmer.
Her skin has a healthy, rosy glow.
In its figurative meaning, 'rosig' (rosy) is often used with abstract nouns such as 'Zukunft' (future), 'Aussichten' (prospects), or 'Zeiten' (times). A common phrase is that something 'rosig aussieht' (looks rosy).
Die wirtschaftlichen Aussichten sind im Moment alles andere als rosig.
The economic prospects are anything but rosy at the moment.
When 'rosig' (rosy) describes a color, it is used almost exclusively for a healthy complexion. The most common combination is 'rosige Wangen' (rosy cheeks).
Nach dem langen Winterspaziergang hatten die Kinder rosige Wangen.
After the long winter walk, the children had rosy cheeks.
positive
'positiv' and 'rosig' can both express a good or hopeful assessment. 'positiv' is neutral and can be used very broadly: you can talk about results, experiences, feelings, or developments. 'rosig' is more figurative and especially means that a future or situation looks promising. It is also often used in the phrase 'nicht rosig' (not rosy) when something looks rather difficult. If you want to stay factual, 'positiv' fits better. If you want to describe an optimistic future, 'rosig' sounds more natural.

Nach den neuen Aufträgen sieht die Zukunft der Firma wieder rosig aus.
After the new orders, the company's future looks rosy again.
Beim Lernen merkt sie eine positive Veränderung.
She notices a positive change in her learning.