Question 488151: find the equation that describes {(2,5),(1,2),(0,1),(-1,2),(-2,5)}
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! First, write your ordered pairs in order by x-coordinate.
(-2,5)
(-1,2)
(0,1)
(1,2)
(2,5)
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.
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