Use a system of equations to find the parabola of the form yequals=axsquared2plus+bxplus+c that goes through the three given points. (22, negative 11−11), (negative 2−2, negative 23−23), (44, negative 53−53)

Given that a parabola of the form passing through the points (2, -11), (-2, -23) and (4, -53)

Thus, substituting the points we have:



We solve equations (1), (2) and (3) simulataneously. (There are many mays it can be solved but I will use row reduction method here).

We form the augumented matrix for equations (1), (2) and (3) and perform elementary row operations as follows:







Thus, a = -4, b = 3, c = -1

Therefore, the required polynomial is