Question
Figure
is transformed using the rule
. Point
of the pre-image is at
. What are the coordinates of point
on the final
image?
image?
Ask by Chandler Schwartz. in the United States
Jan 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The coordinates of point
after the transformation are
.
Solution

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Mind Expander
Let’s break down the transformation given by the rule
. The notation indicates that we first apply a reflection over a vertical axis, and then we perform a translation.
The coordinates of point
are
. Assuming the reflection is over the y-axis, the reflected point
will be at
. Next, we apply the translation
, which means we subtract 4 from the x-coordinate and add 2 to the y-coordinate of point
:
- Translated x-coordinate:
- Translated y-coordinate:
So the final coordinates of point
are
.