Notice that the given graph is a concave-up parabola.
Now, recall that the minimum value of a concave up parabola is the y entry of its vertex.
From the given graph we get that the vertex of the given parabola is:
![(0,-7)\text{.}](https://img.qammunity.org/2023/formulas/mathematics/college/v3c0p05ewk7q7gbinuw331qia3glmtlucm.png)
The y entry of the above point is -7, then the minimum value of the given function is -7.
Answer: -7.