document.write( "Question 1206459: The function h(t)=-16t^2+16t represents the height (in feet) of a horse t seconds after it jumps over a pole.When does the horse reach its maximum height \n" ); document.write( "

Algebra.Com's Answer #843957 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "The function h(t)=-16t^2+16t represents the height (in feet) of a horse
\n" ); document.write( "t seconds after it jumps over a pole.When does the horse reach its maximum height
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document.write( "The function is  h(t) = -16t^2 + 16t = -16*(t^2-t) = -16*t*(t-1).\r\n" );
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document.write( "It is a parabola, having x-intercepts (or t-intercepts) at t= 0 (the horse starts\r\n" );
document.write( "the jump) and t= 1 (the horse completes the jump).\r\n" );
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document.write( "The maximum height moment is exactly half way between these time moments at t= 0.5 sec.\r\n" );
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document.write( "Another way to find this moment is to use the formula  = \r\n" );
document.write( "for the position of the vertex of a parabola y = ax^2 + bx + c.\r\n" );
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document.write( "You have then   =  =  = 0.5 sec., the same value.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On finding the maximum/minimum of a quadratic function see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the minimum/maximum of a quadratic function\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO complete the square to find the vertex of a parabola\r
\n" ); document.write( "\n" ); document.write( "    - Briefly on finding the vertex of a parabola\r
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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.\r
\n" ); document.write( "\n" ); document.write( "Learn the subject from there once and for all.
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