1. **State the problem:** We have a triangle with vertices A(-6, 5), B(-3, 4), and C(-3, 1). We want to find the image of this triangle after reflecting it over the y-axis. 2. **Formula for reflection over the y-axis:** The reflection of a point $(x, y)$ over the y-axis is given by the point $(-x, y)$. 3. **Apply the reflection to each vertex:** - For $A(-6, 5)$, the image is $A'(6, 5)$ because $-(-6) = 6$. - For $B(-3, 4)$, the image is $B'(3, 4)$ because $-(-3) = 3$. - For $C(-3, 1)$, the image is $C'(3, 1)$ because $-(-3) = 3$. 4. **Connect the reflected points:** The image triangle $A'B'C'$ has vertices $A'(6, 5)$, $B'(3, 4)$, and $C'(3, 1)$, connected in the same order as the original triangle. 5. **Conclusion:** The reflection over the y-axis flips the triangle from the left side of the y-axis to the right side, preserving the shape and size but changing the sign of the x-coordinates. **Final answer:** The reflected triangle has vertices $A'(6, 5)$, $B'(3, 4)$, and $C'(3, 1)$.