Identify the type of transformation given the rule N (x, y) = (-x, y)

Hello!

If the domain of the function is negative, the translation occurring has to be a reflection over the x-axis or y-axis.

Since the translation is affecting the x-values, it has to be a reflection over the y-axis. Similarly, if the translation affects the y-values, it translates over the x-axis.

Therefore, the type of transformation given by the rule is a reflection over the y-axis.