Question

What are the coordinates of the point (−1, 6) after a reflection across the x-axis?

Answer 1

The reflection of a point A(a, b) across the x-axis, is the point A'(a, -b).

Thus the point P(-1, 6) is reflected to P'(-1, -6).

Check the picture.

Answer 2

The coordinates of the point (−1, 6) after a reflection across the x-axis is (−1, −6)

Further explanation

A reflection is a common type of transformation. To reflect a point across the x-axis, we consider this axis to be a mirror.

The x-axis runs left to right whereas the y-axis runs up and down. If you want to reflect some function, just picture it being flipped over. From (-1,6) which is located in the upper left and if we reflect it over the x-axis, both points are now in the bottom left quadrant where everything is negative. If we reflect a point across the x-axis, the x-coordinate remains same, whereas the y-coordinate changes into its opposite. So if we have a point , the reflection of this point across  the x-axis is the point . Finally, the point (−1, 6) changes into (−1, −6).

When we reflect a point across the x-axis, the x-coordinate remains the same, whereas the y-coordinate is transformed into its opposite, the sign is changed. The simple way if we forget the rules for reflections when graphing, fold your paper along the x-axis to see where the new figure will be located.  The reflection of the point (x,y) across  the x-axis is the point (x,-y).

Learn more

1. Learn more about reflection brainly.com/question/1526267

Answer details

Grade:  9

Subject:  mathematics

Chapter:  reflection

Keywords: reflection