Question
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Figure is transformed using the rule
. Point of the pre-image is at . What are the coordinates of point on the final
image?

Ask by Chandler Schwartz. in the United States
Jan 16,2025

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Answer

The coordinates of point after the transformation are .

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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 :
  1. Translated x-coordinate:
  2. Translated y-coordinate:
So the final coordinates of point are .

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