document.write( "Question 975497: I am trying to find the quadratic function of a parabola with a vertex of 5.3 and X intercepts -5.25 and 5.25 \n" ); document.write( "
Algebra.Com's Answer #597266 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Ordered pair for the vertex is (0,5.3) because its x coordinate is in the middle of the zeros' values.\r
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\n" ); document.write( "\n" ); document.write( "\"y=a%28x-0%29%5E2%2B5.3\", full standard form
\n" ); document.write( "\"y=ax%5E2%2B5.3\"
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\n" ); document.write( "Solve for a
\n" ); document.write( "\"y-5.3=ax%5E2\"
\n" ); document.write( "\"%28y-5.3%29%2Fx%5E2=a\"
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\n" ); document.write( "Substitute either of the given zeros to have an expression for a
\n" ); document.write( "\"a=%280-5.3%29%2F%285.25%29%5E2\"
\n" ); document.write( "\"a=5.3%2F5.25%5E2\"
\n" ); document.write( "\"a=0.193333cross%283repeating%29\"
\n" ); document.write( "which could really be expressed as a rational number, but if your 5.3 was a measurement
\n" ); document.write( "then a good choice could well be more like a=0.193.\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28y=%280.193%29x%5E2%2B5.3%29\"\r
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\n" ); document.write( "\n" ); document.write( "a might in fact NOT be a repeating decimal in the way I thought first, but using \"1=16%2F16\", you should be able to find \"a=848%2F4410\".
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