Answer: translated according to the rule <span>(x, y) →(x + 8, y + 2) and reflected across the x-axis
Reasoning:
</span>1) The translation options are x + 8 or x + 2 and y + 2 or y + 8.
That means that the points are translated to the right and upward.
2) Then, you need to rotate the figure over the x-axis to translate it to the fourth quadrant.
To find the answer you can choose just one point to verify the rule.
3) Using the point D (-2,2) which is translated to D' (6, - 4) and knowing that the rotation over the x-axis keeps the x-coordinate unchanged while the y-coordinate is transformed into its negative, you can conclude that
3a) first the point was translated 8 units to the right and two units upward this is to a poin with x-coordinate -2 + 8 = 6 and y-coordinate 2 + 2 = 4
3b) second the point was reflected over the x -axis keeping the same x-coordinate x = 6 and transforming the y-coordinate into y = - 4.
So, the rule has been discovered: (x, y) →(x + 8, y + 2) and reflected across the x-axis
