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The given problem involves determining the new vertex of a parabola after a transformation. The original vertex is \((-2, 5)\), and the transformation applied to the function is \( f(-x) \).

### Step-by-Step Solution:

1. **Understand the Transformation**: The expression \( f(-x) \) represents a reflection across the y-axis. This is because replacing \(x\) with \(-x\) causes the graph to flip horizontally.

2. **Effect on the Vertex**: When a parabola undergoes a reflection across the y-axis, the x-coordinate of the vertex changes its sign, while the y-coordinate remains unchanged. 

3. **Apply the Transformation**:
   - The original vertex is \((-2, 5)\).
   - Reflect the

If the equation of a parabola is f(x) and the vertex is (-2, 5), state the vertex after the given translation: f(-x).

Learn how to find the vertex of a parabola after a reflection across the y-axis. Given an original vertex of (-2, 5) and the equation f(x), this problem explores the transformation f(-x). Suitable for students in Grades 9-12.

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