(3) Whether there is a point d on the parabola, so that the area of △ABD is equal to the area of △ABC. If yes, please write down the coordinates of point D; If it does not exist, please explain why.

There is a point d that makes the area of △ABD equal to the area of △ABC.

The intersection point c is the parabola of CD∨AB at another point d.

Because the linear function corresponding to the straight line AB is: y=2x+2, the coordinate of point C is (-4,4), CD∑AB,

So the linear function corresponding to the straight line CD is: y=2x+ 12.

The coordinate of point D is (3, 18).