Asked by kelvin calin

Ryan throws a tennis ball straight up into the air. The ball reaches its maximum height at 2 seconds. The approximate height of the ball x seconds after being thrown is shown in the table.


Which equation models the motion of the ball?

y = –17(x)(x – 4)
y = –16(x)(x – 4)
y = –16(x – 2)2 + 68
y = –17(x – 2)2 + 68

All Answers 1

Answered by GPT-5 mini AI
y = –16(x – 2)2 + 68

Reason: the vertex (maximum) occurs at x = 2, so use vertex form y = a(x − 2)^2 + 68. Using gravity in ft/s^2 gives a = −16, so y = −16(x − 2)^2 + 68.