Question

Will give a medal and fan(if wanted)~
A sandbag was thrown downward from a building. The function f(t) = -16t2 - 64t + 512 shows the height f(t), in feet, of the sandbag after t seconds.

Part A: Factor the function f(t) and use the factors to interpret the meaning of the x-intercept of the function.

Part B: Complete the square of the expression for f(x) to determine the vertex of the graph of f(x). Would this be a maximum or minimum on the graph?

Part C: Use your answer in part B to determine the axis of symmetry for f(x)?
( I think I got the answers, just need help to make sure they're correct)

Answer 1

I got this for Part A
Part A:
f(t) = -16(x^2 + 4x - 32)
= -16(x + 8)(x - 4)
The x-intercept of the function is x = -8 and x = 4

Answer 2

And this for Part B
Part B:
f(t)
= -16(x^2 + 4x + 4) + 64 + 256
= -16(x + 2)^2 + 320

The vertex is (-2,320)

Answer 3

And for Part C
Part C:
The axis of symmetry is x = -2

Answer 4

@undeadknight26 May you help me? n.n

Answer 5

Sounds bout right ._.

Answer 6

xD I hate asking questions so I am sorry for this :P

Answer 7

Just wanna make sure it's correct; hopefully it is o ~o

Answer 8

Its alright little chibi <3333
Your ratio is still beautiful...Keep being kawaii <3

Answer 9

Lol :P Well, I guess I'll find out sooner or later~ It's okay though..my grade is good o_o.. Thanks for the help xD