Suppose that the three points (-2, 3), (4, 33), and (-6, -7) lie on the parabola p(x) = ax^2 + bx + c. (a) Determine a linear system of three equations in three unknowns that must be solved to find a, b, and c. (b) Solve the linear system obtained in part (a) for a, b, and c.

Suppose that the three points (-2, 3), (4, 33), and (-6, -7) lie on the parabola p(x) = ax^2 + bx + c. (a) Determine a linear system of three equations in three unknowns that must be solved to find a, b, and c. (b) Solve the linear system obtained in part (a) for a, b, and c.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.6: Solving Systems With Gaussian Elimination

Problem 2SE: Can any matrix be written as a system of linear equations? Explain why or why not. Explain how to...

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Question

Suppose that the three points (-2, 3), (4, 33), and (-6, -7)
lie on the parabola p(x) = ax^2 + bx + c.
(a) Determine a linear system of three equations in three
unknowns that must be solved to find a, b, and c.
(b) Solve the linear system obtained in part (a) for a, b,
and c.

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