Question 535254
Without graphing, determine the vertex of the given parabola and state whether it opens upward or downward.
y = -3x2 - 18x - 32
----
The negative on the highest power term
assures the parabola opens downward.
------
The vertex occurs where x = -b/(2a) = 18/(2*-3) = -3
f(-3) = -3(-3)^2 - 18(-3) - 32
f(-3) = -27 + 54 - 32
f(-3) = -5
---
Vertex at (-3,-5)
------------------------
Cheers,
Stan H.
========================