Question

The coordinates of point A on a grid are (-4,3). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (_,3).

A. (4,3)

B. (-4,3)

C. (-4,-3)

D. (4,-3)

Answer 1

Point A at (-4,3) when reflected across the y-axis results in point B with coordinates (4,3), matching option A.

Step-by-step explanation:

When reflecting a point across the y-axis in a Cartesian coordinate system, the x-coordinate of the point changes sign, while the y-coordinate remains the same. Given the original point A with coordinates (-4,3), reflecting this point across the y-axis changes the x-coordinate from -4 to 4 while the y-coordinate remains at 3.

The reflected point B is thus at (4,3), matching option A. This process is known as reflection symmetry in the context of Cartesian planes.