We have the following function:
h (t) = - at ^ 2 + bt + c
h- intercept:
Occurs when t = 0:
h (0) = - a (0) ^ 2 + b (0) + c
h (0) = c
The value of c influences in this case: changes the value of h (0)
Maximum value of h:
h '(t) = - 2at + b
0 = -2at + b
t = (b) / (2a)
Then, the maximum is:
h ((b) / (2a)) = - a ((b) / (2a)) ^ 2 + b ((b) / (2a)) + c
The value of c influences in this case: changes the value of the maximum height
t- intercept:
Occurs when h (t) = 0
-at ^ 2 + bt + c = 0
The value of c influences in this case: change the polynomial.
Answer:
The alteration has an effect on:
K. I, II and III
