Question

Using the rotation R, can you create a function R(ABCD) that is equivalent to the reflection of ABCD across both the x-axis and y-axis?

Answer 1

The reflection over the x-axis is given by:

$R(x,y)\to(-x,y)$

And the reflection over the y-axis is given by:

$R(x,y)\to(x,-y)$

Thus, a function that is equivalent to the reflection of ABCD across both axis would be:

$R(x,y)\to(-x,-y)$