Question 368554
The parabola is already in vertex form.
Vertex: ({{{-3}}},{{{-2}}})
The vertex lies on the axis of symmetry, {{{x=-3}}}.
Since {{{a=1>0}}} the parabola opens upwards, the vertex value is the function minimum.
{{{y[min]=-2}}}
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{{{drawing(300,300,-8,2,-5,5,grid(1),circle(-3,-2,0.2),blue(line(-3,-10,-3,10)),graph(300,300,-8,2,-5,5,0,(x+3)^2-2))}}}