Question 477474
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
p=-t^(2)+100t+25 where t the number of days after the outbreak
What is the maximum number of people sick during the outbreak?
Using the vertex form of a parabola, {{{y=a(x-h)^2 +k}}} where(h,k) is the vertex
p=-t^(2)+100t+25
p=-(t^(2)-100t)+25
p=-[(t-50)^2 - 2500] + 25
p = -(t-50)^2 + 2525  Vertex is Pt(50,2525)
|Parabola opening downward : a = -1 < 0
 2525 is the maximum number of people sick during the outbreak 
(which occurs 50 days after the outbreak)