A point is reflected across the axis and then translated 3 u...

Question Analysis:
This question focuses on the sequential application of reflection across the

axis and two - direction translations (horizontal and vertical).

Key Concept Explanation:
Reflection across the

axis:

.
Horizontal translation

units to the left:

.
Vertical translation

units down:

.

Step - by - Step Solution:
Reflection across the

axis:
Given the point

. After reflection across the

axis using the rule

, the new point

has coordinates

as the

coordinate stays

and the

coordinate changes from

.
Translation 3 units to the left:
Take the point

and apply the translation 3 units to the left. Using the rule

with

, the new

coordinate becomes

, and the

Click "Show Answer" to reveal the answer and analysis

Geometry