document.write( "Question 1021195: Find the polynomial function whose graph passes through (-1,2), (0,-4), (1,-4), and (2,8) \n" ); document.write( "

Algebra.Com's Answer #636973 by Fombitz(32388) $\"\"$ $\"About$

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$\"f%28x%29=ax%5E3%2Bbx%5E2%2Bcx%2Bd\"$
\n" ); document.write( "(0,-4)
\n" ); document.write( " $\"a%280%29%5E3%2Bb%280%29%5E2%2Bc%280%29%2Bd=-4\"$
\n" ); document.write( "0. $\"d=-4\"$
\n" ); document.write( "(-1,2)
\n" ); document.write( " $\"a%28-1%29%5E3%2Bb%28-1%29%5E2%2Bc%28-1%29-4=2\"$
\n" ); document.write( "1. $\"-a%2Bb-c=6\"$
\n" ); document.write( "(1,-4)
\n" ); document.write( " $\"a%281%29%5E3%2Bb%281%29%5E2%2Bc%281%29-4=-4\"$
\n" ); document.write( "2. $\"a%2Bb%2Bc=0\"$
\n" ); document.write( "(2,8)
\n" ); document.write( " $\"a%282%29%5E3%2Bb%282%29%5E2%2Bc%282%29-4=8\"$
\n" ); document.write( " $\"8a%2B4b%2B2c=12\"$
\n" ); document.write( "3. $\"4a%2B2b%2Bc=6\"$
\n" ); document.write( "Adding 1 and 2,
\n" ); document.write( " $\"-a%2Bb-c%2Ba%2Bb%2Bc=6%2B0\"$
\n" ); document.write( " $\"2b=6\"$
\n" ); document.write( " $\"b=3\"$
\n" ); document.write( "Subtracting 2 from 3,
\n" ); document.write( " $\"4a%2B2b%2Bc-a-b-c=6-0\"$
\n" ); document.write( " $\"3a%2Bb=6\"$
\n" ); document.write( " $\"3a%2B3=6\"$
\n" ); document.write( " $\"a=1\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"highlight%28y=x%5E3%2B3x%5E2-4x-4%29\"$
\n" ); document.write( " \n" ); document.write( "

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