document.write( "Question 165753: An NFL kicker attempts a 41-yard field goal. The path of the football toward the uprights can be represented by the graph of the quadratic function f(x)= -.0625x²+2.7x, where x is the horizontal distance the football travels in yards and f(x) is the vertical distance the football travels. The bottom of the upright is 3.5 yards above the ground.\r
\n" ); document.write( "\n" ); document.write( "How high will the football reach its highest point? Why? \n" ); document.write( "
Algebra.Com's Answer #122230 by ankor@dixie-net.com(22740)\"\" \"About 
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An NFL kicker attempts a 41-yard field goal. The path of the football toward
\n" ); document.write( " the uprights can be represented by the graph of the quadratic function
\n" ); document.write( " f(x)= -.0625x²+2.7x, where x is the horizontal distance the football travels
\n" ); document.write( " in yards and f(x) is the vertical distance the football travels.
\n" ); document.write( " The bottom of the upright is 3.5 yards above the ground.
\n" ); document.write( "How high will the football reach its highest point? Why?
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\n" ); document.write( "Find the axis symmetry of the equation using the formula x - \"%28-b%29%2F%282a%29\"
\n" ); document.write( ":
\n" ); document.write( "In the equation ;f(x)= -.0625x²+2.7x. a=-.0625, b=2.7
\n" ); document.write( "x = \"%28-2.7%29%2F%282%2A-.0625%29\"
\n" ); document.write( "x = \"%28-2.7%29%2F%28-.125%29\"
\n" ); document.write( "x = +21.6 yds from kickoff line for max height
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\n" ); document.write( "Substitute 21.6 for x in the original equation to find the height
\n" ); document.write( "h = -.0625(21.6^2) + 2.7(21.6)
\n" ); document.write( "h = -29.16 + 58.32
\n" ); document.write( "h = 29.16 yds is max height
\n" ); document.write( ":
\n" ); document.write( "Why? That's just the nature of a parabola with a negative coefficient of x^2
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