document.write( "Question 75311This question is from textbook Alegbra 2 An Incremental Development
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document.write( ": Please help to complete the square and graph : \r
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document.write( "y = x^2 + 2x - 1\r
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document.write( "thank you \n" );
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Algebra.Com's Answer #54076 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Please help to complete the square and graph : \n" ); document.write( "y = x^2 + 2x - 1 \n" ); document.write( ": \n" ); document.write( "Put it in the \"complete the square\" arrangement \n" ); document.write( "x^2 + 2x + ___ = +1 \n" ); document.write( ": \n" ); document.write( "The 3rd term is equal to the coefficient of x divide by 2 and then squared: \n" ); document.write( "2/2 = 1, 1^2 = 1 \n" ); document.write( ": \n" ); document.write( "x^2 + 2x + 1 = 1 + 1; added 1 to both sides, to maintain equality \n" ); document.write( "x^2 + 2x + 1 = 2 \n" ); document.write( ": \n" ); document.write( "(x + 1)^2 = 2: factored the perfect square \n" ); document.write( ": \n" ); document.write( "x + 1 = +- \n" ); document.write( ": \n" ); document.write( "x = -1 +- \n" ); document.write( ": \n" ); document.write( "x = -1 + \n" ); document.write( "and \n" ); document.write( "x = -1 - \n" ); document.write( ": \n" ); document.write( "The graph: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Plot the the graph, solving for y using the equation; x^2 + 2x -1 \n" ); document.write( "the table should look like this \n" ); document.write( " x | y \n" ); document.write( "------- \n" ); document.write( "-4 |+7 \n" ); document.write( "-3 |+2 \n" ); document.write( "-2 |-1 \n" ); document.write( "-1 |-2 \n" ); document.write( " 0 |-1 \n" ); document.write( "+1 |+2 \n" ); document.write( "+2 |+7 \n" ); document.write( ": \n" ); document.write( "Note the value of the x intercepts \n" ); document.write( ": \n" ); document.write( "Did you follow this? Any questions? \n" ); document.write( " |