A sandbag was thrown downward from a building. The function f(t) = -16t2 - 32t + 128 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)

Question

A sandbag was thrown downward from a building. The function f(t) = -16t2 - 32t + 128 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)

anonymous · Answer

do you understand any of this?

geekfromthefutur · Answer

yup

anonymous · Answer

ok what parts dont you understand?

geekfromthefutur · Answer

A

anonymous · Answer

ok well what would you do to solve for the equation, is there a common denominator?

geekfromthefutur · Answer

um.. I think it is t

anonymous · Answer

can you simplify the equation at all?

geekfromthefutur · Answer

Yes

anonymous · Answer

all that f(t) means is basically y so its y=-16t^-32-128

anonymous · Answer

so what do you get when you simplify it?

geekfromthefutur · Answer

2x16= 32

geekfromthefutur · Answer

Then the two 32's make a perfecct square

geekfromthefutur · Answer

I dont think the square matters does it

anonymous · Answer

no why dont you start by dividing everything by -16

geekfromthefutur · Answer

idk cuz it didnt come to mind im dum and tired

anonymous · Answer

lol it happens

geekfromthefutur · Answer

Yes it does. So i divide -16/ -32

geekfromthefutur · Answer

i got 2

geekfromthefutur · Answer

correct or nah

anonymous · Answer

no take -16t^2/-16 you will get just (1)t^2 same with -32t/-16 you get +2t and then 128/-16 gives you -8

anonymous · Answer

you see how i did that?

geekfromthefutur · Answer

OH ok yea i got that now

geekfromthefutur · Answer

@NickR  Do you mind helping me with b andd c i thought ik it but its a little more different

anonymous · Answer

what did you get for your answer?

geekfromthefutur · Answer

The 8 is postive not negitive.

anonymous · Answer

its -8 because a negative times a positive is a negitive

geekfromthefutur · Answer

Oh i miss read the last part then

geekfromthefutur · Answer

you cant simplify 8- can you

anonymous · Answer

once you get t^2+2t-8 you need to foil it, can you do that?

geekfromthefutur · Answer

I might

geekfromthefutur · Answer

nope

geekfromthefutur · Answer

hey dude thanks for your help im just going to quit cuz im tired and its amost 1am here

anonymous · Answer

sounds good and not a problem

geekfromthefutur · Answer

@sleepyjess  @ganeshie8 @Conqueror Can you guys teach me how to foilt^2 + 2t-8

geekfromthefutur · Answer

@CausticSyndicalist