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6) Find the equation of a parabola containing points any method: 16), (-3, -0.5), (0, -5)

6) Find the equation of a parabola containing points any method: 16), (-3, -0.5), (0, -5)

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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**Problem 6: Finding the Equation of a Parabola** Objective: Determine the equation of a parabola that passes through the given points using any suitable method. Given Points: - Point 1: (-6, 16) - Point 2: (-3, -0.5) - Point 3: (0, -5) Approach: You can use the general form of a quadratic equation, \( y = ax^2 + bx + c \), and substitute the coordinates of the given points into this equation to form a system of equations. Solving this system will yield the values of \( a \), \( b \), and \( c \), providing the equation of the parabola.
Transcribed Image Text:**Problem 6: Finding the Equation of a Parabola** Objective: Determine the equation of a parabola that passes through the given points using any suitable method. Given Points: - Point 1: (-6, 16) - Point 2: (-3, -0.5) - Point 3: (0, -5) Approach: You can use the general form of a quadratic equation, \( y = ax^2 + bx + c \), and substitute the coordinates of the given points into this equation to form a system of equations. Solving this system will yield the values of \( a \), \( b \), and \( c \), providing the equation of the parabola.
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