document.write( "Question 572263: can you visualy show me step by step how to find the vertex of the equation y=5(x+5)(x-2)
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Algebra.Com's Answer #368356 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! y = 5(x+5)(x-2)\r \n" ); document.write( "\n" ); document.write( "y = 5(x^2 + 3x - 10)\r \n" ); document.write( "\n" ); document.write( "y = 5x^2 + 15x - 50\r \n" ); document.write( "\n" ); document.write( "The vertex we need is in the form (x,y).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To find the x-coordinate, use x = -b/2a.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 5 and b = 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -15/2(5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -15/10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -3/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To find y, replace x in the above equation with -3/2 and simplify.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 5(-3/2)^2 + 15(-3/2) - 50\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -245/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The vertex is the pont (-3/2, -245/4).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |