Which transformation will map figure l onto figure l'?

Option B.

Step-by-step 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.