document.write( "Question 70089: Find the axis of symmetry:
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document.write( "Y= x^2 + 7x + 10\r
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document.write( "ASm I suppose to find out what x equals?? Or I am just suppose to find a solution to the problem? Thank you \n" );
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Algebra.Com's Answer #49942 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the axis of symmetry: \n" ); document.write( "Y= x^2 + 7x + 10 \n" ); document.write( "---------------- \n" ); document.write( "You need to put the quadratic in vertex form by completing the square. \n" ); document.write( "This is vertex form: y-k=(x-h)^2 where (h,k) is the vertex. x=h is \n" ); document.write( "then the axis of symmetry. \n" ); document.write( "----------- \n" ); document.write( "Rewrite the equation as: \n" ); document.write( "y-10 = x^2+7x \n" ); document.write( "Complete the square on the right side and keep the equation balanced: \n" ); document.write( "y-10+(7/2)^2 = x^2+7x+(7/2)^2 \n" ); document.write( "Factor the right side; simplify the left side: \n" ); document.write( "y-10+49/4 = (x+(7/2))^2 \n" ); document.write( "y+(9/4) = (x+(7/2))^2 \n" ); document.write( "------------ \n" ); document.write( "So, -h=7/2 \n" ); document.write( "h=-7/2 \n" ); document.write( "x=-7/2 is the axis of symmetry \n" ); document.write( "------------- \n" ); document.write( "Here is the graph so you can see the axis of symmetry: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |