To map Figure $E$ onto Figure $F$, we can observe the transformations as follows:

1. A reflection across the x-axis, which brings Figure $E$ downward toward the general position of Figure $F$.
2. A translation right 2 units and down 8 units, which aligns the figures perfectly.

So, the series of transformations is:

"A reflection across the x-axis followed by a translation right 2 units and down 8 units."

Would you like a breakdown of each transformation step or have any other questions?

Here are five related questions you might find helpful:

1. What are common transformations used in geometry?
2. How do we determine if two figures are congruent through transformations?
3. What is the effect of reflecting a figure over different axes?
4. How can we identify translation vectors between two points?
5. Why is rotation sometimes not necessary in mapping figures?

Tip: Always check for congruence in shape and size before trying to identify the transformations needed between figures.