How to find the vertex of the parabola by completing the square #x^2-6x+8=y#?

Gingan7mhd

Gingan7mhd

Answered question

2023-03-28

How to find the vertex of the parabola by completing the square x 2 - 6 x + 8 = y ?

Answer & Explanation

peminggirotnn

peminggirotnn

Beginner2023-03-29Added 5 answers

y = x 2 - 6 x + 8 = x 2 - 6 x + 9 - 1 = ( x - 3 ) 2 - 1
This has its vertex where x - 3 = 0 , that is x = 3
When x = 3 we have y = 0 2 - 1 = - 1
Hence the vertex is at ( 3 , - 1 )

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