Use matrix manipulation to solve fora,b, andc.Set up a matrix equation forAX=Bbased on the system of equations you derived in part B whereXis a matrix of the variablesa,b, andc.Then, use Gauss-Jordan elimination to find the inverse ofA.Finally, use your results to write the equation of the parabola.Show your work and final equation in the space provided.

System of equations:

8= 9a+3b+c

20/3= 25a+5b+c

5= 36a+6b+c