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Y = X2 - 8X + 12

set to 0

X2- 8X + 12 = 0

X2 - 8X = - 12

halve the coefficient of the linear term, ( - 8 ), square it and add it to both sides

X2 - 8X + 16 = - 12 + 16

factor on the left and gather term on the right

(X - 4)2 = 4

(X - 4)2 - 4 = 0

================vertex form

(4, - 4)

=======vertex

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Q: What is the vertex of the function y equals x2-8x plus 12?
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