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A football is kicked toward the goal. The height of the ball is modeled by the function h(x) = -16t^2 + 64t where t equals the time in seconds and h(x) represents the height of the ball at time t seconds. What is the axis of symmetry and what does it represent?

A. x = 2; it takes 2 seconds to reach the maximum height and 2 seconds to fall back to the ground

B. x = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground

C. x = 4; it takes 4 seconds to reach the maximum height and 4 seconds to fall back to the ground

D. x = 4; it takes 4 seconds to reach the maximum height and 8 seconds to fall back to the ground

Respuesta :

HomertheGenius
We will solve the equation:[tex]-16 x^{2} +64t=0[/tex]
t(-16 t + 64 )=0,               t1=0,  
-16t+64=0,   16 t = 64,    t2=4
This is a square function ( graph : parabola ) with the zeroes: t1=0 and t2=4.
The axis of symmetry is x=2.  It takes 2 seconds to reach the maximum height and 2 seconds to fall back to the ground (Answer: A). 
jgb0424

Answer:

A

Step-by-step explanation:

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