The functions f(x) = (x + 1)2 − 2 and g(x) = –(x − 2)2 + 1 have been rewritten using the completing-the-square method. is the vertex for each function a minimum or a maximum? explain your reasoning for each function

F(x)=a(x-h)²+k
the vertex is (h,k)
if a>0 then the parabola opens up and the vertex is a minimum
if a<0 then the parabola opens down and the vertex is a maximum

so

f(x)=1(x-(-1))²+(-2)
vertex is (-1,-2) and 1>0 so that is a minimum

g(x)=-1(x-2)²+1
vertex is (2,1) and -1<0 so that is a maximum