Question 463888
I assumed you meant -2x^2 + 39x - 132 so I changed it.


The x-coordinate of the vertex occurs at -39/(2*-2) = 9.75. Also, p(39/4) = 58.125, so the coordinate of the vertex is (9.75, 58.125).


This vertex is the maximum of the parabola, because it opens downward. There is no minimum because the parabola goes to negative infinity as x gets really large (or small).


{{{graph(300,300,-150,150, -150, 150, -2x^2 + 39x - 132)}}}