if a point with coordinates (x,y) was rotated 90 degrees clockwise about the origin and translated 2 units right, what are the coordniates after the rotation

Question

Can't solve the equation. Stuck and confuse. need help.

Answer 1

Greetings! Lets solve this shall we ?

So, we must translate the given point (x,y) into the translation given. We begin with the 90 degree clockwise rotation such that

90 degree clockwise rotation = (x, y) => (y, -x).......Then we translate the coordinate (y, -x) 2 units to the right such that

y = f(x) turns into x = f(y) and (y, -x - 2) because the x axis becomes the range.

I hope this helped!