I am a plant known for my striking, vibrant flowers that resemble a bird in flight. My leaves are usually long, narrow, and emerge from a fan-like base. I thrive in warm, sunny climates and am often used in landscaping. Though I don't produce traditional fruit or vegetables, my roots can be used in some cultures. What am I?

1. I am not a rose, sunflower, or tulip.
2. My flowers often come in colors like orange, blue, or white.
3. My common name alludes to a tropical, exotic bird.
4. I am often found in botanical gardens or warmer landscapes.