Subjects geometry

Point A Transformation 40F9Da

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1. **State the problem:** We need to find the coordinates of point A after two transformations: a translation right 6 units followed by a reflection over the y-axis. 2. **Identify the original coordinates:** The point A is at approximately $(-1, 7)$. 3. **Apply the translation right 6 units:** Translation right 6 units means adding 6 to the x-coordinate: $$(-1, 7) \to (-1 + 6, 7) = (5, 7)$$ 4. **Apply the reflection over the y-axis:** Reflection over the y-axis changes the x-coordinate to its opposite: $$(x, y) \to (-x, y)$$ Applying this to $(5, 7)$: $$ (5, 7) \to (-5, 7) $$ 5. **Final answer:** The coordinates of point A after the transformations are $(-5, 7)$. This matches the option **(-5, 7)**.