document.write( "Question 328433: What is the vertex of f(x)=3x^2-12x+11? I have tried to follow the example in the text and can not figure it out. \n" ); document.write( "
Algebra.Com's Answer #235272 by scott8148(6628)\"\" \"About 
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the general formula is ___ f(x) = a (x-h)^2 + k , where (h,k) is the vertex\r
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\n" ); document.write( "\n" ); document.write( "start by separating the terms and factoring out the 3 ___ f(x) = 3 (x^2-4x) + 11\r
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\n" ); document.write( "\n" ); document.write( "complete the square by adding half of the x-term coefficient , squared
\n" ); document.write( "___ you can't change the overall value of the expression ; so anything you add must also be subtracted\r
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\n" ); document.write( "\n" ); document.write( "f(x) = 3 (x^2 - 4x + [(-4/2)^2] + 11 - 3[(-4/2)^2]\r
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\n" ); document.write( "\n" ); document.write( "the term to complete the square is added inside the parentheses which is multiplied by 3
\n" ); document.write( "___ so when the quantity is subtracted to maintain the value of the expression , it must also be multiplied by 3\r
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\n" ); document.write( "\n" ); document.write( "f(x) = 3 (x^2 - 4x + 4) + 11 - 12 = 3 (x - 2)^2 - 1\r
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\n" ); document.write( "\n" ); document.write( "so the vertex is ___ (2,-1) \n" ); document.write( "
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