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=−124x2+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 ≤ 1/124.

Interpretation: The ball’s height above the field never goes below 0 and reaches a maximum of 1/124 units (about 0.00806) above the ground. That maximum occurs at x = 1/124 units horizontally from the point of contact; the ball starts at y = 0, rises to y = 1/124, then falls back to y = 0 where it lands.