These are the main data: the T-shirt starts at a height of 8 feet when it leaves the cannon and 1
second later reaches a maximum height of 24 feet
So, f(0) = 8 feet and f(1) = 24 feet
That means, that you can evaluate the
functions at t = 0 and t = 1 to see which represents those two points, (0, 8) and (1, 24).
A:
f(t) = –16(t – 1)^2 + 24
t =
0 => f(0) = - 16 (0 – 1) ^2 + 24 = -16 + 24 = 8 => This is Ok.
t =1
=> f(1) = - 16 (1 – 1)^2 + 24 = 0 + 24 => This is Ok.
B: f(t) = –16(t + 1)^2 + 24
t =
0 => f(0) = -16 (0 + 1)^2 + 24 = - 16 + 24 = 8 => this is Ok
t =
1 => f(1) = -16 (1 + 1)^2 + 24 = -16(4) + 24 = - 64 + 24 = - 40 => Wrong
C: f(t) = –16(t – 1)^2 – 24
t =
0 => f(0) = -16 (0 – 1)^2 - 24 = -16 – 24 = - 40 => Wrong
D: f(t) = –16(t + 1)^2 – 24
t = 0 => f(0) = - 16 (0 + 1)^2 – 24 = -16 – 24 = - 40 => Wrong
With tha we have obtained that
the answer is the option A.
