document.write( "Question 683283: what is the vertex form to 3x^2+12x+20 \n" ); document.write( "
Algebra.Com's Answer #423508 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! y = 3x^2+12x+20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 20 = 3x^2+12x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 20 = 3(x^2+4x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 20 = 3(x^2+4x+4-4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 20 = 3((x^2+4x+4)-4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 20 = 3((x+2)^2-4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 20 = 3(x+2)^2-3*4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y - 20 = 3(x+2)^2-12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 3(x+2)^2-12+20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 3(x+2)^2 + 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "===================================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So after completing the square, \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x^2+12x+20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "turns into \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3(x+2)^2 + 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which is now in vertex form. \n" ); document.write( " |