geometric transformation of the functions

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the vertex of the curve of the function f(x) = 〖X-3〗^2 + 2

( 3 , 2 )

the vertex of the curve of the function f(x) = |x+1| - 3

(-1 , -3 )

the vertex of the curve of the function f(x) = X^3 + 2

( 0 , 2 )

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