document.write( "Question 588865: how do i put -3x^2+6x+9 into a(x-h)^+k form?!?! \n" ); document.write( "

Algebra.Com's Answer #374658 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+-3x%5E2+%2B+6x+%2B+9+\"$
\n" ); document.write( " $\"+a%2A%28+x+-+h+%29%5E2+%2B+k+\"$
\n" ); document.write( " $\"+a%2A%28+x%5E2+-+2%2Ah%2Ax+%2B+h%5E2+%29+%2B+k+\"$
\n" ); document.write( " $\"+a%2Ax%5E2+-+2%2Aa%2Ah%2Ax+%2B+a%2Ah%5E2+%2B+k+\"$
\n" ); document.write( "(1) $\"+a+=+-3+\"$
\n" ); document.write( "(2) $\"+-2%2Aa%2Ah+=+6+\"$
\n" ); document.write( "(3) $\"+a%2Ah%5E2+%2B+k+=+9+\"$
\n" ); document.write( "This is 3 equations and 3 unknowns, so
\n" ); document.write( "it should be solvable
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) $\"+-2%2A%28-3%29%2Ah+=+6+\"$
\n" ); document.write( "(2) $\"+6h+=+6+\"$
\n" ); document.write( "(2) $\"+h+=+1+\"$
\n" ); document.write( "and
\n" ); document.write( "(3) $\"+-3%2A1%5E2+%2B+k+=+9+\"$
\n" ); document.write( "(3) $\"+-3+%2B+k+=+9+\"$
\n" ); document.write( "(3) $\"+k+=+12+\"$
\n" ); document.write( "so,
\n" ); document.write( " $\"+-3x%5E2+%2B+6x+%2B+9++=+-3%2A%28+x+-+1+%29%5E2+%2B+12+\"$
\n" ); document.write( "check answer:
\n" ); document.write( " $\"++-3%2A%28+x+-+1+%29%5E2+%2B+12+\"$
\n" ); document.write( " $\"+-3%2A%28+x%5E2+-+2x+%2B+1+%29+%2B+12+\"$
\n" ); document.write( " $\"+-3x%5E2+%2B+6x+-+3+%2B+12+\"$
\n" ); document.write( " $\"+-3x%5E2+%2B+6x+%2B+9+\"$
\n" ); document.write( "OK \n" ); document.write( "

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