(a) Consider the three points (21, yı) = (1,0), (x2, y2) = (2, 2) and (3, y3) = (3,-6). Use an augmented matrix to find the quadratic polynomial p(1) that goes through these three points. (b) Keep the first two points the same, but now instead consider the third point to be (I'3, y) = (-3,6) (so our three points are (x1, yı) = (1,0), (x2, y2) = (2, 2) and (x's, y) = (-3, 6)). Use an augmented matrix to find the quadratic polynomial p(1) that goes through these three points. (c) Use graphing software (such as Desmos) to graph the two polynomials you found. Sketch or include an image of your resulting graph in your submission, labelling the particular points used to find these two polynomials. Notice that though our polynomial interpolations used two out of three of the same points, our final polynomials look quite different! (d) Write out, but do not solve, the augmented matrix for the system of equations that will result in the coefficients of the polynomial of that goes through all four points (-1, yı), (12, y2), (13, y3), and (1'3, y3)