Question

What is the image of (-5,3)(−5,3) after a reflection over the x-axis?

Answer 1

Answer is ( -5, -3 )

The rule for a reflection over the x -axis is (x,y)→(x,−y) . The x value stays the same but the y value is now in the negative y quadrant.

See attachment.

Answer 2

The image of the point (-5,3) after a reflection over the x-axis is (-5,-3), where the x-coordinate remains the same and the y-coordinate is inverted.

The image of the point (-5,3) after a reflection over the x-axis will have the same x-coordinate but an inverted y-coordinate.

To reflect a point over the x-axis, you change the sign of the y-coordinate while leaving the x-coordinate the same. Therefore, the image of (-5,3) after reflection over the x-axis will be (-5,-3).