Quadratic and Cubic Equations
By Amber Krug
LetŐs start by examining the graph of y = x2 + bx + 1.
We can find the vertex of each parabola and plot the curve created by the vertices to find the locus:
where y = - x2 + 1.
Something interesting is that y = x2 + 1 is the locus for y = - x2 + bx + 1.