Question

what is the minimum value of this function?

Explanation:

Step1: Identify the vertex of the parabola

The graph is a parabola opening upwards, so its minimum value is at the vertex. By observing the grid, the vertex (lowest point) is at the coordinate $(-4, -4)$.

Step2: Extract the minimum y-value

The minimum value of the function is the y-coordinate of the vertex.

Answer:

-4