If the vertex of the graph is positive, it could be either a minimum or a maximum, depending on the nature of the function. In order to determine whether it is a minimum or maximum, we need to analyze the concavity or curvature of the graph, as well as consider the leading coefficient of the function.
1. If the graph is concave up (opening upwards) and the leading coefficient is positive, then the vertex is a minimum.
2. If the graph is concave down (opening downwards) and the leading coefficient is negative, then the vertex is a maximum.
Therefore, simply knowing that the vertex is positive is not sufficient to determine whether it is a minimum or maximum.
if the vertex of the graph is positive is it a minimum or a maximum?
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