Find parametric equations for the following curve. Include an interval for the parameter.

The left half of the parabola $y=x^2,$ originating at $(0,0)$

Choose the correct answer below.

A$.x(t)=t^2,y(t)=t,0t<mi></mi>$

B$.x(t)=-t,y(t)=t^2$;$0t<mi></mi>$

C$.x(t)=t^2,y(t)=-t,0t<mi></mi>$

D$.x(t)=t,y(t)=t^2$;

$E.x(t)=t,y(t)=t^2$;$0t<mi></mi>$

$F.x(t)=t^2,y(t)=t-$