The three transformations described have the cumulative effect of . . . leaving everything where it started! (Provided that the rotation is about the origin; the problem appears not to say what the center of rotation is.) To see why, let's trace what happens to the point (x, y), a generic point in the coordinate plane. A reflection in the y-axis replaces x by -x, a reflection in the x-axis replaces y by -y, and a rotation through 180° about the origin changes the signs of both x and y. Combining the three changes the signs of both x and y twice, which leaves both values unchanged. Since the original coordinates of A are (-4, 1), those are the coordinates of the point where A ends up.
