The parabola is the graph of a quadratic polynomial p(x) = ax^2 + bx + c. A point (x0, y0) is a point on such parabola if p(x0) = y0; i.e. ax^2 0 + bx0 + c = y0. Find a quadratic polynomial such that the following three points are on the parabola defined by it: (−1, 3), (0, 4), and (1, 2). (Hint: Note that to find p(x)=ax+by+c we need to find numbers a, b and c using three linear equations obtained from given information above).

The parabola is the graph of a quadratic polynomial p(x) = ax^2 + bx + c. A point (x0, y0) is a point on such parabola if p(x0) = y0; i.e. ax^2 0 + bx0 + c = y0. Find a quadratic polynomial such that the following three points are on the parabola defined by it: (−1, 3), (0, 4), and (1, 2). (Hint: Note that to find p(x)=ax+by+c we need to find numbers a, b and c using three linear equations obtained from given information above).

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section: Chapter Questions

Problem 14T

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