In an equation of the form with k = ax^2 + bx + c, the least possible value of k occurs at x = -b/(2a). In the equation k = (6x + 12)(x - 18) , what is the least possible value for k?
(6x + 12) (x -18) =
6x^2 - 96x - 216
The x coordinate of the vertex = (96) /(2 * 6) = 96 /12 = 8
k is the y coordinate of the vertex and = (6 (8) + 12) (8 -18) = 60 (-10) = -600
The least possible value of k is -34.
