document.write( "Question 464378: Hello, can you help me find the solutions to this question? Thank you in advance.\r
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document.write( "Find the vertex, the line of symmetry, the maximum or minimum of the quadratic function, and graph the function:\r
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document.write( "f(x)=-2x^2+2x+8 \n" );
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Algebra.Com's Answer #318148 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find the vertex, the line of symmetry, the maximum or minimum of the quadratic function, and graph the function: \n" ); document.write( "f(x)=-2x^2+2x+8 \n" ); document.write( "... \n" ); document.write( "standard form for parabola: y=(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex. \n" ); document.write( "for given equation: \n" ); document.write( "y=-2x^2+2x+8 \n" ); document.write( "completing the square \n" ); document.write( "y=-2(x^2-x+1/4)+8+1/2 \n" ); document.write( "y=-(x-1/2)^2+17/2 \n" ); document.write( "This is a parabola that opens downward, with vertex at (1/2,17/2). \n" ); document.write( "Axis of symmetry: x=1/2, maximum=17/2 \n" ); document.write( "See graph below as a visual check on answers:\r \n" ); document.write( "\n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( " |