Final answer:
To find the coordinate of point B after the given transformations, first translate point A 2 units to the right, then perform a reflection over the x-axis.
Step-by-step explanation:
To find the coordinate of point B after the given transformations, first translate point A 2 units to the right. This means adding 2 to the x-coordinate. So the new x-coordinate of point A is -4 + 2 = -2.
After the translation, perform a reflection over the x-axis. This means changing the sign of the y-coordinate. The y-coordinate of point A is 3, so the new y-coordinate of point B is -3.
Therefore, the coordinate of point B (after the transformations) is (-2, -3).