Notice that when b=0 the equation becomes x2+c or, in this case, x2+1; the equation is a parabola centered around the y-axis. When b is negative the vertex is located to the right of the y-axis and when b is positive the vertex is to the left of the y-axis. No matter what size the parabola is, it always crosses the y-axis at 1; the point (0,1) is always on the graph of x2+bx+1. If a parabola crosses the x-axis, then it is able to be factored and real roots are able to be found.