Question

does this function have a maximum or minimum? minimum maximum

Explanation:

Step1: Analyze the parabola's opening direction

For a parabola \(y = ax^{2}+bx + c\), if \(a>0\), it opens upwards; if \(a < 0\), it opens downwards. An upward - opening parabola has a minimum value at its vertex, and a downward - opening parabola has a maximum value at its vertex.
From the graph, the parabola opens upwards.

Answer:

Minimum