Question

Need help solving this

Answer 1

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