A triangle with vertices , , and is first translated 4 units...

Question Analysis:
This question requires applying a translation followed by a reflection across the

axis to a vertex of a triangle.
The main focus is correctly executing each transformation step for the given point.

Key Concept Explanation:
1. Translation rule: For a translation

units left and

units up, a point

transforms to

.
2. Reflection across the

axis rule: When reflecting a point

across the

axis, the new coordinates are

.

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

:
- Given a translation 4 units to the left (

) and 1 unit up (

).
- Using the translation rule

, substitute

and

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