Cubic functions and complex zeros!?
y1 = (x+2) (x-(3+2i)) (x-(3-2i))
which then simplifies to y1 = (x+2) (x^2-6x+13)

y2 is the shadow function that shares two points with y1, has opposite concavity and has zeros at -2 and 3+-2.
y2= -((x-2)(x-1)(x-5))

Express y2 in terms of y1 and ym which is the shadow generating function (line passing through the points of intersection of y1 and y2 with equation: 4x + 8)..

How would you approach this question?
Thanks a lot!

Question

Cubic functions and complex zeros!?
y1 = (x+2) (x-(3+2i)) (x-(3-2i))
which then simplifies to y1 = (x+2) (x^2-6x+13) 

y2 is the shadow function that shares two points with y1, has opposite concavity and has zeros at -2 and 3+-2.
y2= -((x-2)(x-1)(x-5))

Express y2 in terms of y1 and ym which is the shadow generating function (line passing through the points of intersection of y1 and y2 with equation: 4x + 8)..

How would you approach this question? 
Thanks a lot!