Answer:
Rule: Reflect the figure across the y-axis then translate the reflected figure 4 units to the right.
Explanation:
Part 1
Points of Figure A:
(2, 2)
(8, 4)
(6, 8)
Draw a line at x = 2, then reflect each point across the line
(2, 2) → (2, 2)
(8, 4) → (-4, 4)
(6, 8) → (-2, 8)
Part 2
Reflection in the y-axis: (x, y) → (-x, y)
As the y-values of our two figures have not changed, the first part of the rule is: reflect across the y-axis
If we reflect the figure across the y-axis, the points of the reflected figure are:
(-2, 2)
(-8, 4)
(-6, 8)
To bring the reflected figure back to where we want it (reflection in x = 2) we need to translate the figure 4 units to the right:
(-2 + 4, 2) = (2, 2)
(-8 + 4, 4) = (-4, 2)
(-6 + 4, 8) = (-2, 8)
So the final rule is:
Reflect the figure across the y-axis then translate the reflected figure 4 units to the right.