Answer:
a. The x-coordinate of the minimum point of this parabola is halfway between the two roots (-1 and 2). So the x-coordinate here is 1/2, and we have:

So the coordinate of the turning point is (1/2, -2 1/4), or (.5, -2.25).
b. The roots of this parabola are at (-1, 0) and (2, 0).