SOLUTION: find the equation that describes {(2,5),(1,2),(0,1),(-1,2),(-2,5)}

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.
RELATED QUESTIONS
What algebraic expression best describes the sequence 1, 1/2, 1/3, 1/4,... (answered by Fombitz)

Write a conjecture that describes the pattern in the sequence: -4, -1, 2, 5, 8 (answered by josgarithmetic)

Choose the equation that best represents a hyperbola with vertices (0, �1) and (4, �1),... (answered by Edwin McCravy,ewatrrr)

write the equation of the line that passes through (0, 5(1/2)) and (-3(1/2),... (answered by stanbon,mananth)

4, ?, 5, 2, 1, ?, 1, 2, 3, 4, 3, 2, 1, 5, 9, 2, 7, 1, ?, 5, ?, ?, 9, 0, 4, 1, 0, 4, 2, ?, (answered by greenestamps,ikleyn)

Solve the equation: {{{(x^2-1)^2 + 4(x^2-1) - 5 = 0... (answered by josgarithmetic)

find the real solutions of the equation.... (answered by CubeyThePenguin,greenestamps)

find the value of : [ 1 2 3 ] [2 3 0 [2 0 4 9 5 (answered by Fombitz)

Determine whether the sequence below is a geometric sequence and, if so, find a formula... (answered by thejackal)

need to find the determinate of the following: please help! 3 0 -5 0 -5 1 (answered by swincher4391)