document.write( "Question 1139573: please explain:\r
\n" ); document.write( "\n" ); document.write( "Determine whether there is a maximum or minimum value for f(x) = -2x^2 + 3x + 4 and find that value \n" ); document.write( "
Algebra.Com's Answer #760055 by rothauserc(4718)\"\" \"About 
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f(x) = -2x^2 + 3x + 4
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\n" ); document.write( "this is a parabola that curves downward, here is its graph
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\n" ); document.write( "\"+graph%28+300%2C+200%2C+-2%2C+3%2C+-2%2C+6%2C+-2x%5E2+%2B+3x+%2B+4+%29+\"
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\n" ); document.write( "the general form of a quadratic equation is
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\n" ); document.write( "f(x) = ax^2 +bx +c, where a, b, c are real numbers
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\n" ); document.write( "for the given equation, f(x) = -2x^2 + 3x + 4, a = -2, b = 3, c = 4
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\n" ); document.write( "the function maximum occurs at the parabola's vertex
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\n" ); document.write( "x coordinate = -b/2a = -3/(2 * (-2)) = 3/4
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\n" ); document.write( "f(3/4) = -2*(3/4)^2 +3*(3/4) +4 = 82/16 = 41/8 = 5.125
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\n" ); document.write( "the function maximum occurs at f(3/4) = 5.125
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