<PRE><B>Question 173552</B>
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. 
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The shape of that equation is a parabola. It has either a maximum
point or a minimum point.  Your equation has a maximum.
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That maximum occurs when x = -b/2a = -3/(2*-0.03) = 50
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So the maximum height is H(50) = -0.03(50)^2 + 3*50 = 75 ft.
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Cheers,
Stan H.</PRE>