Question

A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t^2 + 96t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent?


A. t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.

B. t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground.

C. t = 6; It takes the ball 6 seconds to reach the maximum height and 3 seconds to fall back to the ground.

D. t = 6; It takes the ball 6 seconds to reach the maximum height and 6 seconds to fall back to the ground.

Answer 1

I think it's A or B, bc the axis of symmetry is 3

Answer 2

@az can u help me please :>

Answer 3

@snowflake0531 ik ur smart, can u help

Answer 4

to find the axis of symmetry, if you have an equation of ax^2 + bx + c

then the line of the axis of symmetry is x = -b/2a

Answer 5

xv=- b/2a

a=-16

b=96

Answer 6

\( h(t) = −16t^2 + 96t\)

a = -16
b = 96

what is -b/2a

Answer 7

\[-\frac{ 96 }{ 2*(-16) }\]

Answer 8

ohhh

Answer 9

Now you simplify

Answer 10

ok

Answer 11

I got 3

Answer 12

so, it's B

Answer 13

Thanks xio and az

Answer 14

Wait

so it takes 3 seconds to reach the highest point



how long would it take for it to reach the ground again?

Answer 15

6

Answer 16

so its a?

Answer 17

Actually, I think you're right

The question is worded poorly, but I guess the answer choice is trying to say that the symmetry of axis tells us it takes 3 seconds to reach the top and then another 3 seconds to get back down

Answer 18

ah ok