document.write( "Question 999688: Struggling on how to find an equation when only given these three coordinates:
\n" ); document.write( "(4,-10), (11,5), (23,17)\r
\n" ); document.write( "\n" ); document.write( "Seems like it should be a quadratic eq, but confused without any x or y axis values.
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Algebra.Com's Answer #617255 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
You're going to have to slog through it.
\n" ); document.write( "Start with the general equation for a quadratic.
\n" ); document.write( "\"y=ax%5E2%2Bbx%2Bc\"
\n" ); document.write( "Use the points,
\n" ); document.write( "\"-10=a%284%29%5E2%2Bb%284%29%2Bc\"
\n" ); document.write( "1.\"16a%2B4b%2Bc=-10\"
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\n" ); document.write( ".
\n" ); document.write( "\"5=a%2811%29%5E2%2Bb%2811%29%2Bc\"
\n" ); document.write( "2.\"121a%2B11b%2Bc=5\"
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\n" ); document.write( "\"17=a%2823%29%5E2%2Bb%2823%29%2Bc\"
\n" ); document.write( "3.\"529a%2B23b%2Bc=17\"
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\n" ); document.write( "\n" ); document.write( "The quickest way is to use Cramer's rule,
\n" ); document.write( "\"A=%28matrix%283%2C3%2C%0D%0A16%2C4%2C1%2C%0D%0A121%2C11%2C1%2C%0D%0A529%2C23%2C1%29%29\"
\n" ); document.write( "\"abs%28A%29=-1596\"
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\n" ); document.write( "\"A%5Ba%5D=%28matrix%283%2C3%2C%0D%0A-10%2C4%2C1%2C%0D%0A5%2C11%2C1%2C%0D%0A17%2C23%2C1%29%29\"
\n" ); document.write( "\"abs%28A%5Ba%5D%29=96\"
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\n" ); document.write( "\"abs%28A%5Bb%5D%29-4860\"
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\n" ); document.write( "\"abs%28A%29=33864\"
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\n" ); document.write( "\"a=abs%28A%5Ba%5D%29%2Fabs%28A%29=-%2896%2F1596%29=-%288%2F133%29\"
\n" ); document.write( "\"b=abs%28A%5Bb%5D%29%2Fabs%28A%29=4860%2F1596=405%2F133\"
\n" ); document.write( "\"c=abs%28A%5Bc%5D%29%2Fabs%28A%29=-%2833864%2F1596%29=-%282822%2F133%29\"
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\n" ); document.write( "\"y=-%281%2F133%29%288x%5E2-405x%2B2822%29\"
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