The quadratic function modeling the helght of a ball over time is symmetric about the line t = 2.5, where is lite Is true about this situation?

A. The height of the ball is the same after 1.5 seconds and 3.5 seconds.

B. The height of the ball is the same after 1 second and 3 seconds.

с. The height of the ball is the same after 0.5 second and 5.5 seconds.

D. The height of the ball is the same after 0 seconds and 4 seconds.

The height of the ball is the same after 1.5 seconds and 3.5 seconds. ⇒ (A)

Step-by-step explanation:

The quadratic function is represented by a parabola

∵ The quadratic function modeling the height of a ball over time

∴ f(t) = at² + bt + c

→ t is the time in second, f(t) is the height of the ball after t seconds

∵ It is symmetric about the line t = 2.5

∴ The x-coordinate of its vertex is 2.5

→ That means the average of the x-coordinates of any two

   opposite points belong to f(t) is 2.5

∵ The average of 1.5 and 3.5 =

∴ 1.5 and 3.5 have the same value of f(t)

∴ 1.5 and 3.5 have the same height

The height of the ball is the same after 1.5 seconds and 3.5 seconds.

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

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