SOLUTION: The height y (in feet) of a ball thrown by a child is given by the equation y= -1/9x^2+5x+3 , where x is the horizontal distance (in feet) from the starting point. What is the maxi

Algebra.Com
Question 1034342: The height y (in feet) of a ball thrown by a child is given by the equation y= -1/9x^2+5x+3 , where x is the horizontal distance (in feet) from the starting point. What is the maximum height of the ball?
Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
The maximum height for y= -1/9x^2 + 5x + 3 occurs when x = -b/2a, that is, when
x = -5 /(-2/9) = 45/2
The maximum height itself occurs at
f(-b/2a) = f(45/2) = (-1/9)(45/2)^2 + 5(45/2) + 3 = 59.25 feet

RELATED QUESTIONS

The height y (in feet) of a ball thrown by a child is y=-\frac{1}{16}x^2 + 6 x + 3... (answered by Alan3354)
The height y (in feet) of a ball thrown by a child is y=−114x2+2x+3 where x is the... (answered by Alan3354,ikleyn)
Please help me. Show all work. The height y (in feet) of a ball thrown by a child is (answered by ankor@dixie-net.com)
Please help and show all work. Thanks The height y (in feet) of a ball thrown by a... (answered by Alan3354)
Please Help Me! 1. The path of a ball thrown into the air from a height of 3 feet is... (answered by ankor@dixie-net.com)
1. A ball follows a flight given by y = 20x - x^2 + 6 where x represents the horizontal... (answered by ankor@dixie-net.com)
The height y (in feet) of a ball thrown by a child is y= −1/14x² + 4x + 5 where x is... (answered by Boreal)
An object is thrown in the air. The trajectory of the object us represented by the... (answered by Alan3354)
A baseball player throws a ball from the outfield toward home plate. The ball's height... (answered by solver91311)