If-a-parabola-is-in-form-f-x-ax-2-bx-c-why-is-g-x-e-x-e-x-parabolic-Does-it-have-to-do-with-its-locus-

Question Number 2979 by Filup last updated on 02/Dec/15

If a parabola is in form f (x) = {a x}^{2} + b x + c,

why is g (x) = e^{x} + e^{- x} parabolic ?

Does it have to do with its locus ?

Commented by 123456 last updated on 02/Dec/15

g (x) = e^{x} + e^{- x} = 2 \cosh x

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