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?

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.