document.write( "Question 19588: In this problem you are asked to convert the general standard form of a quadratic polynomial into the completed square form. Suppose f(x)=Ax^2+Bx+C where A,B, and C are the coefficients of the quadratic polynomial, and A does not equal 0. then F can be written as f can be written as f(x=a(x-h)^2+k where
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Algebra.Com's Answer #9488 by venugopalramana(3286) $\"\"$ $\"About$

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In this problem you are asked to convert the general standard form of a quadratic polynomial into the completed square form. Suppose f(x)=Ax^2+Bx+C where A,B, and C are the coefficients of the quadratic polynomial, and A does not equal 0. then F can be written as f can be written as f(x=a(x-h)^2+k where
\n" ); document.write( "a= A
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\n" ); document.write( "k=\r
\n" ); document.write( "\n" ); document.write( "Enter your answers as algebraic expressions in A,B, and C.\r
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\n" ); document.write( "\n" ); document.write( "we have .....f(x)=Ax^2+Bx+C =a(x-h)^2+k=a(x^2+2hx+h^2)+k=ax^2+2ah*x+a*h^2+k
\n" ); document.write( "this is an identity so corresponding terms on either side of = should be same...so....
\n" ); document.write( "Ax^2=ax^2...and...Bx=2ah*x...and...C=a*h^2+k..or
\n" ); document.write( "A=a....and.....B=2ah....and....C=a*h^2+k
\n" ); document.write( "so a=A..and..h=B/2a=B/2A...and.....k=C-A*(B/2A)^2\r
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