Question

find the coordinates for the vertex of the following quadratic function.
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Explanation:

Step1: Identify vertex on graph

The vertex of a parabola (quadratic function graph) is the minimum (for upward - opening parabola) or maximum (for downward - opening parabola) point. The given parabola opens upward, so we look for the lowest point.
From the graph, we can see that the lowest point (vertex) has an \(x\) - coordinate of \(2\) and a \(y\) - coordinate of \(2\).

Answer:

\((2,2)\)