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
