document.write( "Question 1072260: Karen is throwing an orange to her brother Saul, who is standing on the balcony of their home. The height, h (in feet), of the orange above the ground t seconds after it is thrown is given by: h (t)=-16t^2+32t+4 \r
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Algebra.Com's Answer #687175 by Edwin McCravy(20054)\"\" \"About 
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document.write( "We need the maximum value of a quadratic function.\r\n" );
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document.write( "The maximum value of a quadratic function \r\n" );
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document.write( "f(x) = ax^2 + bx + c\r\n" );
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document.write( "with a negative leading coefficient, is when the value of x\r\n" );
document.write( "equals \"-b%2F%282a%29\"\r\n" );
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document.write( "In this problem x is t and f is h, a is -16 and b is +32\r\n" );
document.write( "c is 4 but we don't need it to find the time t when the\r\n" );
document.write( "function h(x) (for height) has its maximum value.\r\n" );
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document.write( "h(t)=-16t^2+32t+4\r\n" );
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document.write( "\"-b%2F%282a%29=-expr%28%22%22+%2B+32%29%2F%282%28-16%29%29=%28-32%29%2F%28-32%29=1\"\r\n" );
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document.write( "So it reaches the maximum height in 1 second.  So we\r\n" );
document.write( "substitute 1 for t in the equation\r\n" );
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document.write( "h(1) = -16(1)^2+32(1)+4 = -16+32+4 = 20 feet.\r\n" );
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document.write( "So yes, that's high enough for him to catch the orange.\r\n" );
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document.write( "Edwin

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