Question

You are attending a baseball game. The batter hits the ball high into the air of the infield. You notice the ball, as it is hit, forms a parabolic path from contact with the bat to where it lands in the field. The path the ball traveled can be expressed by the quadratic equation y=−1/24 x^2+2x
, where x represents the horizontal distance and y represents the height of the ball. Interpret the following key feature of the parabola in terms of the context. (1 point)
Range: 0≤y≤

Answer 1

Range: 0 ≤ y ≤ 24.

Interpretation: The ball’s height y is always between 0 (on the ground) and a maximum of 24 feet. In context, the pop-up rises from ground level to a highest point of 24 ft (this peak occurs 24 ft horizontally from the hit) then returns to the ground.