(a) Find an equation that represents the family of all seconddegree polynomials that

Chapter 1, Problem 17

(choose chapter or problem)

(a) Find an equation that represents the family of all seconddegree 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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