Find the point on the parabola $(-4,1)t(-4,1)x=2t,y=2t^2,-,$ closest $to$ the point $(-4,1).$

$(Hint$: Minimize the square $of$ the distance $as$ a function $oft.)$

The point $on$ the given parabola closest $to$ the point $(-4,1)is(Simplify$ your answer. Type $an$ ordered pair.$)$