document.write( "Question 638508: find the values of a,b and c of teh quadration y=ax^2+bx+c if it passes through the points (1,15), (-1,7), and (0,10). \n" ); document.write( "

Algebra.Com's Answer #457597 by tommyt3rd(5050) $\"\"$ $\"About$

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y=ax^2+bx+c\r
\n" ); document.write( "\n" ); document.write( "(0,10) => c=10\r
\n" ); document.write( "\n" ); document.write( "(1,15) => a+b+10=15 or a+b=5\r
\n" ); document.write( "\n" ); document.write( "(-1,7) => a-b+10=7 or a-b=-3\r
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\n" ); document.write( "\n" ); document.write( "adding the two last equations yields 2a=2 so that a=1\r
\n" ); document.write( "\n" ); document.write( "and from the second equation a+b=5 we conclude b=4\r
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\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2%2B4x%2B10\"$ \r
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