document.write( "Question 859872: what is the equation of a parabola that passes through (0,4)(2,14)(4,8) \n" ); document.write( "

Algebra.Com's Answer #518161 by Fombitz(32388) $\"\"$ $\"About$

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$\"y=ax%5E2%2Bbx%2Bc\"$
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\n" ); document.write( "\n" ); document.write( " $\"4=a%280%29%5E2%2Bb%280%29%2Bc\"$
\n" ); document.write( " $\"c=4\"$
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\n" ); document.write( " $\"14=a%282%29%5E2%2Bb%282%29%2B4\"$
\n" ); document.write( " $\"4a%2B2b=10\"$
\n" ); document.write( "1. $\"2a%2Bb=5\"$
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\n" ); document.write( " $\"8=a%284%29%5E2%2Bb%284%29%2B4\"$
\n" ); document.write( " $\"8=16a%2B4b%2B4\"$
\n" ); document.write( " $\"16a%2B4b=4\"$
\n" ); document.write( "2. $\"4a%2Bb=1\"$
\n" ); document.write( "Subtract eq. 1 from eq. 2,
\n" ); document.write( " $\"4a%2B2b-2a-b=1-%285%29\"$
\n" ); document.write( " $\"2a=-4\"$
\n" ); document.write( " $\"a=-2\"$
\n" ); document.write( "Then
\n" ); document.write( " $\"2%28-2%29%2Bb=5\"$
\n" ); document.write( " $\"b=9\"$
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\n" ); document.write( " $\"f%28x%29=-2x%5E2%2B9x%2B4\"$ \r
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