SOLUTION: The shape of a supporting arch can be modeled by h(x)=-0.03x^2+3x, where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base of

Algebra ->  Algebra  -> Graphs -> SOLUTION: The shape of a supporting arch can be modeled by h(x)=-0.03x^2+3x, where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base of      Log On

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Question 74107This question is from textbook Algebra 2
: The shape of a supporting arch can be modeled by h(x)=-0.03x^2+3x, where h(x) represents the height of the arch and x represents the horizontal distance from one end of the base of the arch in meters. Find the maximum height of the arch.
Any help is greatly appreciated!This question is from textbook Algebra 2

Answer by stanbon(48516) About Me  (Show Source):
You can put this solution on YOUR website!
h(x)=-0.03x^2+3x
It's a quadratic with a=-0.03 and b=3
The maximum point (vertex) is at x=-b/2a= -3/(2*-0.03) = 50
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To get the height find h(50)
h(50) = -0.03(50)^2+3*50 = 148.5 ft
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Cheers,
Stan H.