(a) Use a graphing utility to graph the parabolas y x2 2x,
Chapter 4, Problem 53(choose chapter or problem)
(a) Use a graphing utility to graph the parabolas y x2 2x, y x2 2x, y x2 3x, and y x2 3x. Check visually that, in each case, the vertex of the parabola appears to lie on the curve y x2 . (b) Prove that for all real numbers k, the vertex of the parabola y x2 kx lies on the curve y x2 . 54. (a) G
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