Which of the following is the vertex of y = - f(-x) if the original function

Question

has a vertex of (-9, -8)?

Answer 1

To find the vertex of the function \( y = -f(-x) \) given that the original function \( f(x) \) has a vertex at \((-9, -8)\), we will follow two transformations.

1. Reflecting across the y-axis: The transformation \( f(-x) \) reflects the function across the y-axis. This means the x-coordinate of the vertex will change sign. The vertex \((-9, -8)\) will transform to \((9, -8)\).

2. Reflecting across the x-axis: The transformation \( -f(x) \) reflects the function across the x-axis. This means the y-coordinate of the vertex will change sign. The vertex \((9, -8)\) will transform to \((9, 8)\).

So, the vertex of \( y = -f(-x) \) is at the point \((9, 8)\).