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The parabola shown in the figure has an equation of the form y = ax² + bx + c -5 y 5 (2, 4), -5 -10 (1, 0) (0, -6) 5 (6, 0) 10 (8, -14) Find the equation of this parabola using each method. (a) Find the equation analytically. X (b) Use the regression feature of a graphing utility to find the equation.

The parabola shown in the figure has an equation of the form y = ax² + bx + c -5 y 5 (2, 4), -5 -10 (1, 0) (0, -6) 5 (6, 0) 10 (8, -14) Find the equation of this parabola using each method. (a) Find the equation analytically. X (b) Use the regression feature of a graphing utility to find the equation.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The parabola shown in the figure has an equation of the form y = ax -5 y 5 (2, 4) -5 -10- -15 (1, 0) (0, -6) 5 (6, 0) 10 (8, -14) Find the equation of this parabola using each method. (a) Find the equation analytically. ax² + bx + c. X (b) Use the regression feature of a graphing utility to find the equation.
Transcribed Image Text:The parabola shown in the figure has an equation of the form y = ax -5 y 5 (2, 4) -5 -10- -15 (1, 0) (0, -6) 5 (6, 0) 10 (8, -14) Find the equation of this parabola using each method. (a) Find the equation analytically. ax² + bx + c. X (b) Use the regression feature of a graphing utility to find the equation.
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