document.write( "Question 1120176: Given the quadratic function f(x) = 2x2– 8x + 11
\n" ); document.write( "Use “completing the squares” to convert the quadratic function into vertex form
\n" ); document.write( "State the vertex, Find the x- and y-intercepts, Graph the function\r
\n" ); document.write( "\n" ); document.write( "the end answer is 2(x-2)^2 +3, I need the steps in-between the problem and the answer \n" ); document.write( "

Algebra.Com's Answer #735837 by ikleyn(52767) $\"\"$ $\"About$

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document.write( "f(x) = 2x^2 - 8x + 11 = 2*(x^2 - 4x) + 11 = 2*(x^2 - 2*2*x + 2^2) - 2*2^2 + 11 = \r\n" );
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document.write( "     = 2*(x-2)^2 + 3.\r\n" );
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document.write( "     The vertex is (2,3).\r\n" );
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document.write( "     The y-intercept is  11.  It is the value of f(x) at x= 0.\r\n" );
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document.write( "     There is no x-intercept:  the plot of the function does not intersect x-axis.\r\n" );
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document.write( "     It is ALWAYS ABOVE the x-axis.\r\n" );
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document.write( "Plot y = \r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar problems solved by the \"completing the square\" method and to learn the subject, look into the lesson\r
\n" ); document.write( "\n" ); document.write( " - HOW TO complete the square - Learning by examples \r
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