The problem involves reflecting triangle ABC over the y-axis. To find the coordinates of the reflected triangle, we need to apply the rule for reflecting points over the y-axis:

• For a point $(x, y)$, its reflection over the y-axis will be $(-x, y)$.

Let’s apply this to each vertex of triangle ABC.

• Point A is at $(-2, 5)$. Its reflection, $A'$, will be at $(2, 5)$.
• Point B is at $(3, -3)$. Its reflection, $B'$, will be at $(-3, -3)$.
• Point C is at $(4, -1)$. Its reflection, $C'$, will be at $(-4, -1)$.

Therefore, the coordinates of the reflected triangle A'B'C' are:

• $A'(2, 5)$,
• $B'(-3, -3)$,
• $C'(-4, -1)$.

The correct answer is $A'(2, 5), B'(-3, -3), C'(-4, -1)$, which corresponds to the third option in the list.

Do you want further details on reflections, or have any questions?

Here are 5 related questions to practice:

1. What are the coordinates of a point $(4, -6)$ reflected over the x-axis?
2. How do the coordinates change when reflecting a point over the origin?
3. What is the rule for reflecting a point over the line $y = x$?
4. Can a triangle be mapped to itself by reflection? Under what conditions?
5. What is the result of reflecting a triangle over both the x-axis and the y-axis?

Tip: When reflecting over the y-axis, only the x-coordinate changes sign, while the y-coordinate remains the same.