Question

What's the relationship between a parabola's vertex and its maximum or minimum values? Can a parabola have both a max and a min value?

Answer 1

no cant have both
if leading coefficient is pos ... vertex is min
if leading coefficient is neg ... vertex is max

Answer 2

Why can't a parabola have both?

Answer 3

by definition of its shape...there is a absolute low point which is the min
the arrows go up forever without ever turning down again so there is no max value