document.write( "Question 836304: I have sent in my graph and solutions to my school and they sent my work back saying my vertex was wrong. The equation is -3x^2-6x-5. I had (0,-5) as my vertex and I can't figure out why its wrong or what else it could. Please help.
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Algebra.Com's Answer #504082 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! In general, if you have y = ax^2 + bx + c, the axis of symmetry is x = -b/(2a)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this case, a = -3, b = -6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -b/(2a)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -(-6)/(2(-3))\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 6/(-6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The axis of symmetry, and the x coordinate of the vertex, is x = -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Plug this into the given equation to find the y coordinate of the vertex\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -3x^2-6x-5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -3(-1)^2-6(-1)-5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -3(1)-6(-1)-5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -3 + 6 - 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the vertex is (-1,-2) \n" ); document.write( " |