Given that the graph of the quadratic function.
We need to determine the vertex of the graph and also determine whether it is a minimum or maximum value.
<u>Vertex:</u>
The vertex of the parabola is the point at which the parabola makes a turn to form a U - shaped graph.
Hence, from the figure, the parabola turns at the point (0,-2) to form a U - shaped graph.
Therefore, the vertex of the graph is (0,-2)
<u>Minimum or maximum value:</u>
When the parabola is open upwards, then the vertex is the lowest point on the graph which is the minimum value on the graph.
Thus, the graph has a minimum value.
Hence, the vertex of the graph is (0,-2); minimum value.
Therefore, Option A is the correct answer.