Question

A sandbag was thrown downward from a building. The function f(t) = -16t2 - 64t + 80 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. (4 points)

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? (4 points)

Part C: Use your answer in part B to determine the axis of symmetry for f(x)? (2 points)

Answer 1

HELP PLEASE!!

Answer 2

\(\huge\cal\color{springgreen}{:)}\)

Answer 3

can you help me on this one too?

Answer 4

Yes. I lost a bit of connection. My apology:)

Answer 5

its fine (:

Answer 6

\[f(t)=-16t^2-64t+80\]

Answer 7

is that part A?

Answer 8

(A)
\[-16(t-1)(t+5)\]

Answer 9

That is your original equation

Answer 10

so the answer for Part A would be the second equation?

Answer 11

So f(t)=0 when t = -5 or t -1
Interpretation "The sandbax hits the ground after 1 second."
(B)
\[144-16(t+2)^2\]
The vertex is at (-144,-2). It is a maximum.

Answer 12

Yes. It ouwld be the second equation. you are correct:)

Answer 13

okay(:

Answer 14

Sorry about the misspelling. My typing isn't cooperating today..lol..:)

Answer 15

hahah its fine, would where you put "(B)" be part B?

Answer 16

(C) Using part (B) we know the axis of symmetry is the line x =-2.

Answer 17

Yes:)

Answer 18

and for Part C would I just answer with "x=-2"?

Answer 19

Yep!!!!!:) Great Job!:)

Answer 20

Thank you!(: could you help me on 2 more?

Answer 21

Yep! Sure! I have plenty of time:) But close this one and open a new one:)

Answer 22

okay no problem(: