Question

A toy rocket was launched from the ground. The function f(x) = -16x2 + 192x shows the height of the rocket f(x), in feet, from the ground at time x seconds.

What is the axis of symmetry of the graph of f(x), and what does it represent?

Answer 1

x = 12; it takes 12 seconds to reach the maximum height and 12 seconds to fall back to the ground

x = 12; it takes 12 seconds to reach the maximum height and 24 seconds to fall back to the ground

x = 6; it takes 6 seconds to reach the maximum height and 6 seconds to fall back to the ground

x = 6; it takes 6 seconds to reach the maximum height and 3 seconds to fall back to the ground

Answer 2

@chosenmatt @iGreen. @ZnappyDooZ

Answer 3

it isnt B

Answer 4

for sure

Answer 5

To find the axis of symmetry, we must first find the vertex.

Answer 6

hmmm one sec

Answer 7

(6, 576)?

Answer 8

@iGreen.

Answer 9

Yes, that's correct..so our axis of symmetry is the 'x' value of the vertex, so we have x = 6.

Answer 10

So we can knock out A and B

Answer 11

what do I do next?
\

Answer 12

Axis of symetry?

Answer 13

Yep, we can knock A and B out.

Answer 14

Check out this graph, tell me which option you think is correct.

https://www.desmos.com/calculator/iy8ofaais4

Answer 15

C! right?

Answer 16

I'll post whether I got it right or not for future references

Answer 17

Yep, you got it. 6 to reach the vertex, and 6 to come back down.

Answer 18

100% positive that it's correct ;)

Answer 19

awesome thank you so much!

Answer 20

You did pretty much all of it, thank yourself! :D