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.

people went from manufacturing one object at a time by hand to manufacturing many objects in factories

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation: