The image shows a question asking for the equation of a quadratic function based on a graph provided. Let me analyze it further:

The graph shows a parabola that has been vertically shifted or transformed, which is a common quadratic function transformation. To derive the equation of the function $y = a(x - h)^2 + k$, I need the following details:

1. The vertex of the parabola (represented as $(h, k)$).
2. Whether the parabola opens upwards ($a > 0$) or downwards ($a < 0$).
3. A point on the parabola to determine the stretch factor $a$.

Next Steps

If you'd like, you can describe:

• The vertex of the graph (look for the lowest or highest point of the parabola).
• Any specific point on the curve, if visible, that could help identify $a$.

Alternatively, if you'd like me to provide guidance or further explanation about quadratic transformations, let me know! Here’s a tip: always start with the general equation $y = a(x-h)^2 + k$ and adjust $a, h,$ and $k$ based on the graph's features.

Would you like to share the vertex or any additional details for a complete solution?