SOLUTION: The path of a diver is given by the following, where y is the height (in feet) and x is the horizontal distance from the end of the diving board (in feet). y=-4/9 x^2 + 24/9 x + 1

Algebra.Com
Question 805928: The path of a diver is given by the following, where y is the height (in feet) and x is the horizontal distance from the end of the diving board (in feet).
y=-4/9 x^2 + 24/9 x + 11
What is the maximum height of the diver?

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
..here you have parabola opened upside-down and maximum is at vertex; so, find coordinates of vertex
will give us the x-coordinate of the vertex: and





now plug it in equation and find







so, the vertex is at: (,)
since given that is the maximum height of the diver, it is


RELATED QUESTIONS

The path of a diver is given by y = −4x +2 +8x +1 where x is the horizontal distance... (answered by ikleyn)
The path of a diver is given by y = −4x^2 +8x +1 where x is the horizontal distance... (answered by MowMow)
The path of the diver is given by y= 4/9 x^2+24/9 x+12 where y is the height in feet and (answered by ankor@dixie-net.com)
A diver dives into a swimming pool from the diving board. His height in feet is given by... (answered by josmiceli)
The path of a diver is given by y = - 4x^2 +8x +1 Where x is the horizontal... (answered by Boreal)
A path followed by the diver can be modeled by h = -1/5(x2- 5x- 70) where h is the... (answered by ankor@dixie-net.com)
The path of a platform diver can be described by the equation y=-2x^2+15x+6, where x is... (answered by bmauger)
The path of a cliff diver as he dives into a lake,is given by the equation... (answered by ewatrrr)
The path of a diver is y=-4/9x^2+24/9x+12. Where y is the height (in feet) and x is the... (answered by stanbon)