This is a parabola, first, locate the line of symmetry. the line of symmetry is x=-b/2a in this case, b=-2, a=-1, so the line of symmetry is x=-1 when x=-1, f(x)=-(-1)²-2(-1)-3=-2 locate the point (-1,-2) on the grid. this point is the vertex. get two pairs of points with x=-1 as the symmetry line: (0, -3) and (-2, -3); (1,-6) and (-3,-6) connect these five points into a parabola, stick out at the ends because it will extend forever downward.
