document.write( "Question 715589: what is $\"f%28x%29=-%281%2F4%29x%5E2%2B2x-2\"$ in the standard form of a quadratic? \n" ); document.write( "

Algebra.Com's Answer #439509 by josgarithmetic(39617) $\"\"$ $\"About$

You can put this solution on YOUR website!
Standard form from general form comes by Completing the Square. You ADD and SUBTRACT a square term.\r
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\n" ); document.write( "\n" ); document.write( " $\"-%281%2F4%29x%5E2%2B2x-2\"$
\n" ); document.write( "Factor the first two terms, $\"%28-1%2F4%29%28x%5E2-8x%29-2\"$
\n" ); document.write( "Identify the square term to use: $\"%288%2F2%29%5E2=16\"$ ...
\n" ); document.write( "Add and Subtract this square term, $\"%28-1%2F4%29%28x%5E2-8x%2B16%29-2-16%2A%28-1%2F4%29\"$ [did you understand what was done outside of the parentheses?]
\n" ); document.write( "Factor the square trinomial and do other arithmetic, $\"highlight%28-%281%2F4%29%28x-4%29%5E2%2B2%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Function now in standard form, $\"highlight%28f%28x%29=-%281%2F4%29%28x-4%29%5E2%2B2%29\"$ \n" ); document.write( "

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