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Does anyone know a rule that work for all of these

Does anyone know a rule that work for all of these-example-1
User Romeo
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Divide each term in the y column by 2 to go from this list {8, 2, 0, 2, 8} to this list {4, 1, 0, 1, 4}

This list {4, 1, 0, 1, 4} is a bunch of perfect squares so it suggests that y = x^2

However we must double the values to get back to the original list. So the rule is y = 2*x^2

User Lessisawesome
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