已知二次函数$f\left(x\right)=a{x}^2+bx+c$的导数为$f^{\text{'}}\left(x\right)$，$f^{\text{'}}\left(0\right)$＞0，对任意实数x都有$f\left(x\right)$≥0，则$\frac{f\left(1\right)}{f^{\text{'}}\left(0\right)}$的最小值为（   ）

Pedro: Hi, Lily. When do you start class in the morning?

Lily: Usually at 8:00.

Pedro: It's early. We start class at 9:00 in Spain.

Lily: When do you usually eat dinner, Pedro?

Pedro: At 9:30 or 10:00 p.m.

Lily: Wow! That's too late. I always go to bed at 9:30. What do you do on the weekend?

Pedro: I often play sports with my friends. Sometimes I go shopping with my mum.

Lily: Sounds interesting. I usually clean my room. Sometimes I cook for my family.