Where does the graph of x2 - x - 2 y cross the x-axis?

y = x^2 - x - 2

This is the graph of a parabola. We need to find the x-intercepts. Set 0 for y, and solve for x:

0 = x^2 - x - 2

0 = (x + 1)(x - 2)

x + 1 = 0 or x - 2 = 0

x = -1 or x = 2

Thus, x-intercepts are -1 and 2. The graph of y = x^2 - x - 2 crosses the x-axis at x = -1 and x = 2.