On a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time. Time x Height y 0 10 2 24 16 10 How high was the ball after 8 seconds?

The ball is at the same height, 10 feet, at 0 and 16 seconds, so the path’s symmetry puts its highest point halfway between them: at 8 seconds. Using the point (2, 24), the parabola is 18 seconds? Rather, the rise from x = 0 to x = 2 is 14 feet; this gives a peak height of 42 feet. The correct choice is 42 feet.

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