SOLUTION: The path of a baseball after it has been hit is modeled by the function h = - 0.0032d2 + d + 3, where h is the height in feet of the baseball and d is the distance in feet the

Question 1199226: The path of a baseball after it has been hit is modeled by the function h = - 0.0032d2 + d +
3, where h is the height in feet of the baseball and d is the distance in feet the baseball is
from home plate. What is the maximum height reached by the baseball? How far is the
baseball from home plate when it reaches its maximum height?
Answer by Shin123(626) (Show Source): You can put this solution on YOUR website!
We can model the path of the baseball as a parabola. The maximum height is the y-coordinate of the vertex of the parabola, and the distance of the baseball from home plate when it is at its maximum height is the x-coordinate.
For a quadratic , the vertex is at . In this case, and . Plugging this into a calculator, we see that is , which is the x-coordinate of the vertex. To get the y-coordinate, we simply put in into the quadratic, to get . Therefore, the maximum height of the baseball is feet, and it is feet from the home plate when it happens.
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