Answer:
Option B.
Explanation:
We have to find the transformation done to map figure L onto figure L'.
Option A. Horizontal translation of 8 units
If we take a point (-4, 2) of the figure L then we this point will map a point of figure L' at (2, 2).
So translation done was (x - x') = 2- (-4) = 2 + 4 = 6 units
This option is incorrect.
Option B. Horizontal translation of 6 units
It's true as we have calculated above.
Option C. Reflection across x- axis
Incorrect because figure L' is not a picture image across x-axis.
Option D. Reflection across y - axis
Incorrect because there figure L has been translated to form figure L' towards right.
Option B. is the correct option.