You are attending a professional baseball game. The batter hits the ball into right field. You notice the ball, as it is hit, forms a parabolic path from the bat to where it lands in the field. The path the ball traveled can be expressed by the quadratic equation y=−142(x−50)2+60

Question

You are attending a professional baseball game. The batter hits the ball into right field. You notice the ball, as it is hit, forms a parabolic path from the bat to where it lands in the field. The path the ball traveled can be expressed by the quadratic equation  y=−142(x−50)2+60
 ,  where x is the distance from home plate, and y is the height in the air as the ball travels in the air. Interpret the following key feature of the parabola in terms of the context.(1 point)
Range: 0≤y≤

GPT 3.5 · Answer

In the context of the baseball game, the range of the parabola represents the possible height of the ball as it travels through the air. The range is limited to 0≤y≤, meaning that the height of the ball is always equal to or greater than 0 (it starts at the ground level) and less than or equal to a certain maximum height. This maximum height, in this case, is determined by the equation y=−142(x−50)2+60, where the height of the ball can be calculated for any given distance x from home plate.