Question

A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:

f(t) = -16t^2 + 44t + 12

Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

Answer 1

@i0iz0gangster

Answer 2

@zzr0ck3r

Answer 3

This looks like what kind of equation?
Hint:\[ax^2+bx+c\]

Answer 4

I'm still confused really bad at this

Answer 5

really this is about logic. Domain is our input, so does it make sense to have -time in the air?

Answer 6

?

Answer 7

so the domain will be the answer?

Answer 8

this function measures the height of the ball at a certain time t

if you throw a ball and I ask how high do you think that ball is at -3 seconds, does this make sense?

Answer 9

so to find that answer for that y0u would plug in -3 for t right?

Answer 10

what?

Answer 11

we want the time t for which the ball is falling.

Answer 12

do you know what a vertex is?

Answer 13

yes the vertex is basically the max or minimum, so the peak

Answer 14

ok we want to know the t when the ball is at its max until it hits the ground

Answer 15

so what is the vertex of the function, and what are the zeros?

Answer 16

this is what you need to find

Answer 17

vertex (1.3,42)
zeros -0.25 and 3

right? @zzr0ck3r

Answer 18

@zzr0ck3r

Answer 19

I trust you, then the domain that is asked for would be \([1.3,3]\)

Answer 20

The answer choices are
-0.25 < t < 2

0 < t < 3

1 < t < 2.4

1.4 < t < 3

so would it be the last one?