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The vertex form of this function.

X2 + 22X = 31

Halve the linear term ( 22 ) square it and add it to both sides.

X2 + 22X + 121 = 31 + 121

Factor the left side of this equation and gather terms on the right side.

(X + 11)2 = 152

(X + 11)2 - 152 = 0

===================vertex form of this function

(- 11, - 152 )

===========Vertex

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