Geometry

Question Analysis:
This question combines reflection across the axis with horizontal and vertical translations.
The main focus is to accurately apply these three geometric transformations in the correct order.

Key Concept Explanation:
For reflection across the axis, if we have a point , it transforms to .
A translation units to the right changes a point to , and a translation units up changes a point to .

Step - by - Step Solution:
Reflection across the axis:
Given the point . When reflected across the axis using the rule , the new point has coordinates since the coordinate remains and the coordinate changes its sign from to .
Translation 2 units to the right:
Now, take the point and apply the translation 2 units to the right. Using the rule with

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