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The parabola y = a+bx+cx2 goes through the points (x,y) = (1,4) and (2,8) and (3,14)
Chapter 1, Problem 1.4.33(choose chapter or problem)
The parabola y = a+bx+cx2 goes through the points (x,y) = (1,4) and (2,8) and (3,14). Find and solve a matrix equation for the unknowns (a,b,c).
Questions & Answers
QUESTION:
The parabola y = a+bx+cx2 goes through the points (x,y) = (1,4) and (2,8) and (3,14). Find and solve a matrix equation for the unknowns (a,b,c).
ANSWER:Step 1 of 4
The equation of parabola is given as,
Consider that the coordinates of the points that lie on the parabola must satisfy its equation.
Given that the parabola passes through the points and and . Then, substituting each coordinate in the equation generates the following system of equations,