Which of the following is the vertex of \( y=-f(-x) \) if the original function has a vertex of \( (-9,-8) \) ? (1 point \( (9,-8) \) \( (-9,8) \) \( (-9,-8) \) \( (9,8) \)

To find the vertex of the transformed function \( y = -f(-x) \) given that the original function \( f(x) \) has a vertex at \( (-9, -8) \), we need to analyze the transformations step by step. 1. **Reflection across the y-axis**: The transformation \( f(-x) \) reflects the graph of \( f(x) \) across the y-axis. This changes the x-coordinate of the vertex: - Original vertex: \( (-9, -8) \) - After reflection: \( (9, -8) \) 2. **Reflection across the x-axis**: The transformation \( -f(-x) \) reflects the graph across the x-axis. This changes the y-coordinate of the vertex: - After reflection across the y-axis: \( (9, -8) \) - After reflection across the x-axis: \( (9, 8) \) Thus, the vertex of \( y = -f(-x) \) is \( (9, 8) \). The correct answer is \( (9, 8) \).