SOLUTION: How do you find the equation of a parabola that passes through the points (5,3) (3,6) and (-4,5) ?

Question 813219: How do you find the equation of a parabola that passes through the points (5,3) (3,6) and (-4,5) ?
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Use general form for each point and solve simultaneous equations which these points produce. Your variables are now a, b, and c. You might want to set up as a matrix and perform elementary row operations.

Refine this system:

System:

You might want to use some matrix handling software to solve the system.

After that, work with it any way you want.

-----------------------------------------------------
Using the matrix calculator page, http://www.math.purdue.edu/~dvb/gaussian.php
Values obtained were a=-.01825, b=-0.0397, c=7.7619
RELATED QUESTIONS
Find the equation of the parabola that passes through the points(3,-5), (2,0), and... (answered by stanbon)

Write an equation for a parabola that passes through the given points. (6, 27), (5, 18), (answered by Boreal)

Find a function whose graph is a parabola with vertex (4,-6) and that passes through the (answered by ikleyn)

Find the equation of the parabola that passes through the points (0,0 ), (3, 0) and (-1,... (answered by josgarithmetic)

find the equation of the circle that passes through the 3 points (5, -7), (2, -4), and... (answered by solver91311,MathLover1,greenestamps)

How do you find the equation that passes through each pair of points? Ex: (0,1),(5,3)... (answered by solver91311)

how do you find the equation of the parabola whose vertex is (4,-11) and that passes... (answered by stanbon)

how do I find a parabola that passes through the points: (2,-3),(-2,9), and... (answered by AnlytcPhil)

Find the equation of the parabola {{{ y = ax^2 + bx + c }}} that passes through the... (answered by josgarithmetic)