Question

How can you determine the coordinates of a figure after a reflection over either axis

Answer 1

X axis: keep x value, change the sign of the y value
Y axis: keep y value, change the sign of the x value

Answer 2

Answer:  The explanation is given below.

Step-by-step explanation:  We are given to explain the process of determining the co-ordinates of a figure after a reflection over either axis.

When a point gets reflected over x axis, then we see that its y co-ordinate changes its sign.

And, when a point gets reflected over y axis, then its x co-ordinate changes its sign.

That is, if the co-ordinates of a point are (a, b).

Then,

after reflection from x axis, its co-ordinate becomes (a, -b) and

after reflection over y axis, its co-ordinate becomes (-a, b).

The reflections of the point (2, 3) over x-axis and y-axis are shown in the attached figure below.