Given \( \triangle A B C \) at \( \cdot A(-3,2), B(-1,3), C(-4,5) \), and if the \( \Delta \) is first reflected over the \( y \) - axis, and then over the \( x \)-axis, find the coordinate of \( \cdot A^{\prime \prime} \). Select one: a. \( (-3,2) \) b. \( (3,-2) \) c. \( (-3,-2) \) d. \( (1,4) \)

To find the coordinates of \( \cdot A^{\prime \prime} \) after reflecting \( \triangle ABC \) over the \( y \)-axis and then the \( x \)-axis, we can follow these steps: 1. **Reflect over the \( y \)-axis**: The reflection of a point \( (x, y) \) over the \( y \)-axis is \( (-x, y) \). - For point \( A(-3, 2) \), the reflection is \( A' = (3, 2) \). 2. **Reflect over the \( x \)-axis**: The reflection of a point \( (x, y) \) over the \( x \)-axis is \( (x, -y) \). - For point \( A'(3, 2) \), the reflection is \( A^{\prime \prime} = (3, -2) \). Therefore, the coordinates of \( \cdot A^{\prime \prime} \) are \( (3, -2) \). The correct answer is **b. \( (3,-2) \)**.