to find y intercept, let x=0. So -y = (0)^2 - 0 - 6, -y = -6 so y=6.
to find x intercept let y=0. So, 0=x^2 - x - 6. This trinomial is factorable into
0=(x-3)(x+2) let each factor=0, then x-3=0 and x+2=0, solve each for x and intercepts are x=3 and x=(-2)