document.write( "Question 428168: Find the maximum value of the function: y=-x^2+8x-4 \n" ); document.write( "
Algebra.Com's Answer #297677 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! y=-x^2+8x-4 \n" ); document.write( ". \n" ); document.write( "Since the coefficient associated with the x^2 is negative -- we know it is a parabola that opens downwards -- the vertex is then the max. \n" ); document.write( ". \n" ); document.write( "value of x at max is: \n" ); document.write( "x = -b/(2a) \n" ); document.write( "x = -8/(2*(-1)) \n" ); document.write( "x = -8/(-2) \n" ); document.write( "x = 4 \n" ); document.write( ". \n" ); document.write( "plug above back into: \n" ); document.write( "y=-x^2+8x-4 \n" ); document.write( "y=-(4)^2+8(4)-4 \n" ); document.write( "y=-(16)+32-4 \n" ); document.write( "y=-16+32-4 \n" ); document.write( "y = 12 (max value of y)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |