set up and solve an appropriate system oflinear equations to answer the questions.From
Chapter 2, Problem 2.4.45(choose chapter or problem)
set up and solve an appropriate system oflinear equations to answer the questions.From elementary geometry we know that thereis a unique straight line through any two pointsin a plane. Less well known is the fact that there is aunique parabola through any three noncollinearpoints in a plane. For each set of points below, finda parabola with an equation of the form y ax2 bx c that passes through the given points. (Sketchthe resulting parabola to check the validity of youranswer.)(a) (0, 1), (1, 4), and (2, 1)(b) (3, 1), (2, 2), and (1, 5)
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