Question

Point A is located at (-4, 3). Point C is the image of A after a translation two units to the right, then a reflection over the x-axis. What are the coordinates of Point C?

A) (2, 3)
B) (-2, -3)
C) (3, -2)
D) (-2, 3)

Answer 1

The coordinates of point C after a translation two units to the right and a reflection over the x-axis are (-2, -3).

Step-by-step explanation:

To find the coordinates of point C, we can start with the coordinates of point A which are (-4, 3). If we translate point A two units to the right, we add 2 to the x-coordinate, resulting in (-4 + 2, 3) which simplifies to (-2, 3). Then, if we reflect point C over the x-axis, the y-coordinate becomes its opposite, resulting in (-2, -3). Therefore, the coordinates of point C are (-2, -3).