look at this graph: what is the minimum value of this function?

look at this graph: what is the minimum value of this function?

look at this graph: what is the minimum value of this function?

Answer

Explanation:

Step1: Identify the vertex

The minimum value of a parabola opening upwards occurs at its vertex. In a graph of the form (y = ax^{2}+bx + c), for a parabola opening upwards ((a>0)), the (y) - coordinate of the vertex is the minimum value. From the graph, the vertex of the parabola is at the point ((0, - 5)).

Step2: Determine the minimum value

The (y) - coordinate of the vertex gives the minimum value of the function.

Answer:

(-5)