What is the maximum height for - 16t^2+96t+63

h (3) = 207 feet

Step-by-step explanation:

what is the maximum height for - 16t^2+96t+63

h (t) = - 16t^2+96t+63

We see max height at the vertex of this parabolic function

x = - 96/2 * (-16) = 3 seconds

h (3) = - 16*3*3 + 96*3 + 63

h (3) = - 144 + 288 + 63

h (3) = 207 feet