Assignment #3:

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.

 

 

 

 

      

 

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