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.

Question

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.

anonymous · Answer

how  to   find  ym    the   shadow   generating  function   and  how  to   find   y2  which  has   opposite  concavity   as  y1   where  y1=(x-a)^2+b^2