The clostridium tetani bacterium is cultured to produce tetanus toxin used in an inactive form for the tetanus vaccine. the amount of toxin produced per batch increases with time and then becomes unstable. the amount of toxin b(t) (in grams) as a function of time t (in hours) can be approximated by:

b(t)= -1/1152t^2 + 1/12t

a. how many hours will it take to produce the maximum yield?

b. what is the maximum yield?

use the standard form of a parabola given by y = ax2 + bx + c to write an equation of a parabola that passes through the given points.

(2,-4), (1,1), and (-1,-7)