The image displays a graph of the quadratic function y=x^2-x-2 along with multiple-choice questions regarding the key features of the graph. The graph is a parabola opening upwards.

Option A: Vertex at (-1/2,-9/4) , axis of symmetry ,x=-1/2 , x-intercepts at (-1, 0) and (2, 0), y-intercept at (0, -2).

Option B: Vertex at (-1/2,-9/4) , axis of symmetry ,x=-1/2 , x-intercepts at (-1, 0) and (2, 0), y-intercept at (0, 2).

Option C: Vertex at (-1/2,-9/4) , axis of symmetry ,x=-1/2 , x-intercepts at (-1, 0) and (2, 0), y-intercept at (0, -2).

Option D: Vertex at (-1/2,-9/4) , axis of symmetry ,x=-1/2 , x-intercepts at (-1, 0) and (2, 0), y-intercept at (0, -2).

The correct option is A: Vertex at (-1/2, -9/4), axis of symmetry x = -1/2, x-intercepts at (-1, 0) and (2, 0), y-intercept at (0, -2).