document.write( "Question 1173492: The suspension cable that supports a small footbridge hangs in the shape of a parabola. The height h, in feet, of the cable above the bridge is given by
\n" ); document.write( "h(x) = 0.25x2 − 0.2x + 25,
\n" ); document.write( " where x is the distance in feet from one end of the bridge. What is the minimum height of the cable above the bridge? (Round your answer to two decimal places.) \n" ); document.write( "
Algebra.Com's Answer #798793 by ankor@dixie-net.com(22740)\"\" \"About 
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The suspension cable that supports a small footbridge hangs in the shape of a
\n" ); document.write( "parabola.
\n" ); document.write( " The height h, in feet, of the cable above the bridge is given by
\n" ); document.write( "h(x) = 0.25x^2 − 0.2x + 25,
\n" ); document.write( "where x is the distance in feet from one end of the bridge.
\n" ); document.write( " What is the minimum height of the cable above the bridge? (Round your answer to two decimal places.)
\n" ); document.write( ":
\n" ); document.write( "The minimum occurs on the axis of symmetry, use x = -b/(2a) where a=.25, b=-.2
\n" ); document.write( "x = \"%28-%28-.2%29%29%2F%282%2A.25%29\"
\n" ); document.write( "x = \".2%2F.5\"
\n" ); document.write( "x = .4 is the axis of symmetry
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\n" ); document.write( "Find the min, replace x with .4
\n" ); document.write( "h(x) = .25(.4^2) - .2(.4) + 25
\n" ); document.write( "h(x) = .04 - .08 + 25
\n" ); document.write( "h(x) = 24.96 ft is the minimum height \n" ); document.write( "
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