Help we are stumped

Question

The vertices of triangle DEF are D(6,-2), E(8,-4), and F(2,-7). Reflect triangle DEF over x=2. Find the coordinates of triangle D’E’F’.

Answer 1

(-2,-2), (-4,-4) and (2,-7)

(2,-7) is on the line x=2 so it remains the same

y coordinates of the other 2 points remain the same

the x coordinates of the other 2 points must be the same distance from x=2 as the original triangle's points

6-2 = 4, 2-4 =-2

8-2 = 6, 2-6=-4