(P17). (a) Find an equation that represents the family of all second degree polynomials..

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(P17). (a) Find an equation that represents the family of all second degree polynomials that pass through the points (0, 1) and (1, 2). [Hint: The equation will involve one arbitrary parameter that produces the members of the family when varied.

(b) By hand, or with the help of a graphing utility, sketch four curves in the family.


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