已知圆C的圆心是直线x﹣y+1=0与y轴的交点，且圆C与直线x+y+3=0相切，则圆的标准方程为（　　）

A：$x^2$+${\left(y-1\right)}^2$=8 

B：$x^2$+${\left(y+1\right)}^2$=8

C：${\left(x-1\right)}^2$+${\left(y+1\right)}^2$=8 

D：${\left(x+1\right)}^2$+${\left(y-1\right)}^2$=8