What is a shadow generating function. How can you derive it. for example, Y1 = aX^2 + bX + c Y2 = -1(aX^2 +bx + c) ... ( shares the same vertex with Y1, but has opposite concavity .. shadow Function) express Y2 in terms of Y1 & Ym where Ym is the Shadow Generating Function.

So, shadow of \((x - a)^2 + b\) is \(-(x - a)^2 + b\)

and what about the 'ym' which is the shadow generating function?

I don't understand.

Do you mean for any order polynomial?

okk let me send u the whole sheet so u can have a look at it ?

https://docs.google.com/viewer?a=v&q=cache:XPg7ceKyLJEJ:teacher.ocps.net/joel.brielmaier/HL/IA%2520Info.pdf+investigations+on+shadow+functions&hl=en&gl=in&pid=bl&srcid=ADGEESgqKUtELA6SewUTGo_Shxlbq9o86BtOV7vclg_ocVIAZjhq9qPGuUeWHclYI0BmB2iDm0CAE5ke67WN1tso1bNCU7CVAl1KZu0frmub56plsOvy7s6kkqwurLZUuVhYlPE1cR0O&sig=AHIEtbSL1ivGB-N0RwhaZfnY1kY3EM1tAQ is the link for it and there is a question on the shadow function, i need more help on the cubic polynomials!

For cubics it's rather interesting, I have to think about it.

plzzzz sir and if u find any solution just let me know and it would be great of u sir if u send me a mssg?

This is an interesting problem, I've seen it for quadratics, but not cubics.

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