The given quadratic equation \( y = -\frac{1}{24}x^2 + 2x \) describes the path of the baseball as it is hit into the air. In this context:
- \( x \) represents the horizontal distance from the point where the ball is hit.
- \( y \) represents the height of the ball above the ground.
When we analyze the range \( 0 ≤ y \), we interpret this in terms of the baseball game:
- The condition \( 0 ≤ y \) indicates that the height of the baseball (y) cannot be negative. This makes sense because the height of the ball above the ground cannot be below ground level; it must be zero or more.
- Therefore, the range of the quadratic function confirms that the ball will be at least at ground level and can rise to a certain maximum height (which can be determined later) before coming back down, at which point it will eventually land back on the ground.
In summary, the range \( 0 ≤ y \) implies that the baseball is always above or at ground level throughout its parabolic flight path.