Reflections Across Axes and y = x

Explore the reflection of the red hexagon pre-image over the y-axis, the x-axis and the line y = x. Check the line to reflect the image about. You can also modify the red hexagon by moving the vertices.
What do you think the rules should be for each reflection? ( x, y) -> ( x, y) ( x, y ) -> ( -x, y) ( x, y) -> ( x, -y) ( x, y) -> ( -x, -y) ( x, y) -> ( y, x) ( x, y) -> ( -y, x) ( x, y) -> ( y, -x) ( x, y) -> ( -y, -x)