document.write( "Question 1100471: you use a system with three variables to find the equation of a parabola that passes through the points (-8,0) (2,-20) and (1,0). Your friend uses intercept form to find the equation. whose method is easier? justify your answer. \n" ); document.write( "
Algebra.Com's Answer #714961 by josgarithmetic(39617)\"\" \"About 
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Trying \"intercept form\",\r
\n" ); document.write( "\n" ); document.write( "\"y=a%28x-r%29%28x-s%29\" for roots or zeros r and s,\r
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\n" ); document.write( "\n" ); document.write( "\"a%28x%2B8%29%28x-1%29=0\", according to the two given roots.\r
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\n" ); document.write( "\n" ); document.write( "The other given point:
\n" ); document.write( "\"a%28x%2B8%29%28x-1%29=y\"
\n" ); document.write( "\"a%282%2B8%29%282-1%29=-20\"
\n" ); document.write( "\"a%2A10%2A1=-20\"
\n" ); document.write( "\"10a=-20\"
\n" ); document.write( "\"highlight%28a=-2%29\"\r
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\n" ); document.write( "\n" ); document.write( "The equation for the three given points is therefore \"highlight%28y=-2%28x%2B8%29%28x-1%29%29\".\r
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\n" ); document.write( "\n" ); document.write( "You can decide for yourself if using the intercept method is better and discuss it. We only needed to handle two equations using the intercept form.
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