document.write( "Question 576132: find a formula ( in the form f(x)=ax2+bx+c) for aquadratic function with roots 1/2 and 6, and where the point (2,-56) is on the graph of the function \n" ); document.write( "

Algebra.Com's Answer #369735 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
This is actually 3 points,
\n" ); document.write( "( 1/2,0), (6,0), and(2,-56)
\n" ); document.write( "I can write:
\n" ); document.write( "(1) $\"+0+=+a%2A%281%2F2%29%5E2+%2B+b%2A%281%2F2%29+%2B+c+\"$
\n" ); document.write( "(2) $\"+0+=+a%2A6%5E2+%2B+b%2A6+%2B+c+\"$
\n" ); document.write( "(3) $\"+-56+=+a%2A2%5E2+%2B+b%2A2+%2B+c+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) $\"+%281%2F4%29%2Aa+%2B+%281%2F2%29%2Ab+%2B+c+=+0+\"$
\n" ); document.write( "(1) $\"+a+%2B+2b+%2B+4c+=+0+\"$
\n" ); document.write( "(2) $\"+36a+%2B+6b+%2B+c+=+0+\"$
\n" ); document.write( "(3) $\"++4a+%2B+2b+%2B+c+-+56+\"$
\n" ); document.write( "Subtract (1) from (3)
\n" ); document.write( "This is 3 equations and 3 unknowns, so
\n" ); document.write( "you can solve for a,b, and c to get
\n" ); document.write( " $\"+f%28x%29+=+ax%5E2+%2B+bx+%2B+c+\"$ \n" ); document.write( "

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