A function f (x) is described by the ordered pairs (x, y). If the given function is translated two units to the right and then reflected across the x-axis, what are the ordered pairs that describe the transformed function?

A. - x - 2, y

B.-x+2, y

C. x-2,-y

D. x+2,-y

Answer: The correct choice is answer D.

First, the first step of the transformation moves the unit 2 places to the right. The x-coordinate controls the movement left or right. Add 2 to the x-value moves it right 2 places.

Second, we have to reflect it over the x-axis. Taking the opposite of all of the y-values will reflect the shape over the x-axis. Therefore, we will use " - y".