A rectangle has vertices , , and . The rectangle is first tr...

Question Analysis:
This question combines a translation and a reflection across the

-axis for a vertex of a rectangle.
The main focus is correctly applying the two transformation rules in sequence.

Key Concept Explanation:
1. Translation rule: When a point

is translated

units down, the new coordinates are

.
2. Reflection across the

-axis rule: When a point

is reflected across the

-axis, the new coordinates are

.

Step - by - Step Solution:
1. Translation of point

:
- Given a translation 3 units down (

).
- Using the translation rule

, substitute

and

.
- The new coordinates after translation are

.
2. Reflection of the translated point across the

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