https://file.aiquickdraw.com/mathbot/file/1730001271131vf7eyras.jpg

The problem asks for the algebraic rule that represents the transformation shown in the grid. Observing the transformation, we notice the following:

1. Each point \( R, S, Q \) is transformed to a corresponding point \( R', S', Q' \).
2. The shape is reflected across the y-axis.

To confirm, let’s examine the coordinates:

- For point \( R \) (at approximately \( (-4, 3) \)), the transformed point \( R' \) is at \( (4, 3) \).
- For point \( S \) (at approximately \( (-2, 5) \)), the transformed point \( S' \) is at \( (2, 5) \).
- For point \( Q \) (at approximately \( (-3, -5) \)), the transformed point \( Q' \) is at \( (3, -5) \).

This pattern shows that each point's x-coordinate changes from negative to positive (or vice versa), while the y-coordinate remains the same. This is characteristic of a reflection across the y-axis.

### Algebraic Rule:
The transformation can be described by the rule:
\[
(x, y) \rightarrow (-x, y)
\]

Would you like further details or have additional questions?

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Here are five related questions that might deepen your understanding:

1. What would the transformation rule be for a reflection across the x-axis?
2. How would the coordinates change if the transformation was a rotation instead of a reflection?
3. What is the rule for a reflection across the line \( y = x \)?
4. How do we determine if a transformation is a reflection, rotation, or translation?
5. Can you find a point on the graph that remains unchanged by this reflection?

**Tip:** Always check how both the x- and y-coordinates change during transformations to identify the type of transformation accurately.

Which algebraic rule represents the transformation shown on the grid?

Learn how to identify the algebraic rule for a transformation on a coordinate grid. This example involves a reflection across the y-axis, following the rule (x, y) → (-x, y). Suitable for Grade 8 students.

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