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.

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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.

Mathematics
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ym is the horizontal line between the two functions
yes.. thats on the given graph. so do that mean that Ym = bx+c ?? what is How do that makes it an Shadow Generating fucntion?? or am i missing something here?? Also, How do i express Y2 in terms of Ym & Y1 ??
Well I can't see the "given graph"

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But the y coordinate of the vertex is ym so I would write y2 in vertex form using the common vertex which would include ym
The shadow function would be y=(4ac-b^2)/4a since that is the y coordinate of the vertex.

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