document.write( "Question 672122: f(x)=-x^2-4x\r
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document.write( "intervals f is increasing and decreasing. \r
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document.write( "Give the equation of the line that represents the axis of the parabola. \n" );
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Algebra.Com's Answer #417809 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! f(x)=-x^2-4x \n" ); document.write( "intervals f is increasing and decreasing. \n" ); document.write( "Give the equation of the line that represents the axis of the parabola. \n" ); document.write( ". \n" ); document.write( "axis of parabola: \n" ); document.write( "x = -b/(2a) \n" ); document.write( "x = -(-4)/(2(-1)) \n" ); document.write( "x = 4/(-2) \n" ); document.write( "x = -2 (axis of parabola) \n" ); document.write( ". \n" ); document.write( "Since the coefficient associated with the x^2 term is negative, it is a parabola that opens downwards. \n" ); document.write( "Therefore: \n" ); document.write( "f is increasing in the region: \n" ); document.write( "(-oo, -2) \n" ); document.write( "and \n" ); document.write( "f is decreasing in the region: \n" ); document.write( "(-2, +oo) \n" ); document.write( "where \n" ); document.write( "oo is for infinity \n" ); document.write( " \n" ); document.write( " |