Do the following for the points (-5,-2), (-3, 2), (1, 2), (2, –2), (5, 2):(If you are entering decimal approximations, enter at least five decimal places.)(a) Find the equation for the best-fitting parabola y = ax² + bx +c for these points:(b) Find the equation for the best-fitting parabola with no constant term y =az² + br for these points:(c) Find the equation for the best-fitting parabola with no linear term y= ax +cfor these points:

(a) Given that, the general form of the parabola is y=ax2+bx+c and from the normal equations,…

Do the following for the points (-5,-2), (-3,2), (1, 2), (2,-2), (5, 2): (If you are entering decimal approximations, enter at least five decimal places.) (a) Find the equation for the best-fitting parabola y = ax" + bx +c for these points: %3D (b) Find the equation for the best-fitting parabola with no constant term y= ax? + bx for these points: %3D (c) Find the equation for the best-fitting parabola with no linear term y = ax +c for these points: y