document.write( "Question 488151: find the equation that describes {(2,5),(1,2),(0,1),(-1,2),(-2,5)} \n" ); document.write( "

Algebra.Com's Answer #333283 by richard1234(7193) $\"\"$ $\"About$

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First, write your ordered pairs in order by x-coordinate.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(-2,5)
\n" ); document.write( "(-1,2)
\n" ); document.write( "(0,1)
\n" ); document.write( "(1,2)
\n" ); document.write( "(2,5)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "While these ordered pairs do not have a unique solution, we can find a continuous function that models this. The function appears to be symmetric about x = 0, and by noticing a pattern we can tell that y = x^2 + 1 appears to be a solution. \n" ); document.write( "

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