Assignment #3:

Quadratic and
Cubic Equations

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By Amber Krug

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LetŐs start by examining the
graph of y = x^{2} + bx + 1.

We can find the vertex of each
parabola and plot the curve created by the vertices to find the locus:

where y =
- x^{2 }+ 1.

Something interesting is that y = x^{2 }+ 1 is
the locus for y = - x^{2 }+ bx + 1.