规定$min\{a,b\}$表示$a,b$两个数中的最小的数，若函数$f\left(x\right)=min\{\left|x\right|,\left|x+t\right|\}$的图像关于直线$x=-\frac{1}{2}$对称，则$t$的值是（   ）

Nancy：Hi，David．Welcome to my home．

David：Wow，____

Nancy：Thank you．

David：Is this your family photo?

Nancy：Yes．This is my mother．

David：Wow，she looks young．____

Nancy：She is a secretary．

David：Is your father a scientist?

Nancy：Yes，he works at a university．

David：____By car?

Nancy：No，he goes to work by bike．____

David：Great．He has a very healthy life．Look at your sister．____

Nancy：Yes,her favourite toy was lost．David,come to my bedroom．Let's play computer

David：Great

A．What does she do?

B．Your home is big and beautiful．

C．She looks worried．

D．How does he go to work?

E．He likes riding a bike．