Question

what is the vertex of the parabola?

Explanation:

Step1: Recall the vertex form of a parabola

The vertex form of a parabola is \(y = a(x - h)^2 + k\), where \((h,k)\) is the vertex of the parabola.

Step2: Identify the vertex from the graph

Looking at the graph (assuming the standard coordinate system), the lowest point (since it's a parabola opening upwards) is the vertex. From the given options and the general shape of the parabola in the graph, we can see that the vertex is the point \((2,-9)\) as it is the minimum point of the parabola.

Answer:

\((2,-9)\)