Develop an M-file to implement parabolic interpolation to locate a minimum. The function should have the following features:. A• Base it on two initial guesses, and have the program generate the third initial value at the midpoint of the interval. B• Check whether the guesses bracket a maximum. If not, the function should not implement the algorithm, but should return an error message. C• Iterate until the relative error falls below a stopping criterion or exceeds a maximum number of iterations. D• Return both the optimal x and f(x).Use a bracketing approach to replace old values with new values.